diff --git a/ion/src/main/java/com/fasterxml/jackson/dataformat/ion/IonParser.java b/ion/src/main/java/com/fasterxml/jackson/dataformat/ion/IonParser.java
index e7ecd5e49..55c83817b 100644
--- a/ion/src/main/java/com/fasterxml/jackson/dataformat/ion/IonParser.java
+++ b/ion/src/main/java/com/fasterxml/jackson/dataformat/ion/IonParser.java
@@ -333,13 +333,22 @@ public int getTextOffset() throws IOException {
     @Override
     public BigInteger getBigIntegerValue() throws IOException {
         _verifyIsNumberToken();
-        return _reader.bigIntegerValue();
+        try {
+            return _reader.bigIntegerValue();
+        } catch (IonException e) {
+            return _reportCorruptNumber(e);
+        }
     }
 
     @Override
     public BigDecimal getDecimalValue() throws IOException {
+
         _verifyIsNumberToken();
-        return _reader.bigDecimalValue();
+        try {
+            return _reader.bigDecimalValue();
+        } catch (IonException e) {
+            return _reportCorruptNumber(e);
+        }
     }
 
     @Override
@@ -566,13 +575,10 @@ public JsonToken nextToken() throws IOException
         try {
             type = _reader.next();
         } catch (IonException e) {
-            _wrapError(e.getMessage(), e);
-
-        // [dataformats-binary#420]: IonJava leaks IOOBEs so:
+            return _reportCorruptContent(e);
+            // [dataformats-binary#420]: IonJava leaks IOOBEs so:
         } catch (IndexOutOfBoundsException e) {
-            _wrapError(String.format("Corrupt content to decode; underlying failure: (%s) %s",
-                    e.getClass().getName(), e.getMessage()),
-                    e);
+            return _reportCorruptContent(e);
         }
         if (type == null) {
             if (_parsingContext.inRoot()) { // EOF?
@@ -589,13 +595,15 @@ public JsonToken nextToken() throws IOException
         boolean inStruct = !_parsingContext.inRoot() && _reader.isInStruct();
         // (isInStruct can return true for the first value read if the reader
         // was created from an IonValue that has a parent container)
+        final String name;
         try {
             // getFieldName() can throw an UnknownSymbolException if the text of the
             // field name symbol cannot be resolved.
-            _parsingContext.setCurrentName(inStruct ? _reader.getFieldName() : null);
-        } catch (UnknownSymbolException e) {
-            _wrapError(e.getMessage(), e);
+            name = inStruct ? _reader.getFieldName() : null;
+        } catch (IonException e) {
+            return _reportCorruptContent(e);
         }
+        _parsingContext.setCurrentName(name);
         JsonToken t = _tokenFromType(type);
         // and return either field name first
         if (inStruct) {
@@ -709,6 +717,20 @@ protected void _handleEOF() throws JsonParseException
         }
     }
 
+    private <T> T _reportCorruptContent(Exception e) throws IOException
+    {
+        final String msg = String.format("Corrupt content to decode; underlying failure: (%s) %s",
+                e.getClass().getName(), e.getMessage());
+        throw _constructError(msg, e);
+    }
+
+    private <T> T _reportCorruptNumber(Exception e) throws IOException
+    {
+        final String msg = String.format("Corrupt Number value to decode; underlying failure: (%s) %s",
+                e.getClass().getName(), e.getMessage());
+        throw _constructError(msg, e);
+    }
+
     @Override
     public void overrideCurrentName(String name) {
         try {
diff --git a/ion/src/test/java/com/fasterxml/jackson/dataformat/ion/fuzz/Fuzz424_65065_65126NPETest.java b/ion/src/test/java/com/fasterxml/jackson/dataformat/ion/fuzz/Fuzz424_65065_65126NPETest.java
index 5b054b14e..cb2318f61 100644
--- a/ion/src/test/java/com/fasterxml/jackson/dataformat/ion/fuzz/Fuzz424_65065_65126NPETest.java
+++ b/ion/src/test/java/com/fasterxml/jackson/dataformat/ion/fuzz/Fuzz424_65065_65126NPETest.java
@@ -14,32 +14,25 @@
 // [dataformats-binary#424]
 public class Fuzz424_65065_65126NPETest
 {
+    private final IonObjectMapper MAPPER = IonObjectMapper.builder().build();
+
     @Test
     public void testFuzz65065() throws Exception {
-       IonFactory f = IonFactory
-                          .builderForBinaryWriters()
-                          .build();
-
-       IonObjectMapper mapper = IonObjectMapper.builder(f).build();
-
        try {
            byte[] bytes = {(byte) -32, (byte) 1, (byte) 0, (byte) -22, (byte) 123, (byte) -112};
-           mapper.readTree(f.createParser(new ByteArrayInputStream(bytes)));
+           MAPPER.readTree(new ByteArrayInputStream(bytes));
            fail("Should not pass (invalid content)");
        } catch (StreamReadException e) {
+           e.printStackTrace();
            assertThat(e.getMessage(), Matchers.containsString("Internal `IonReader` error"));
        }
     }
 
     @Test
     public void testFuzz65126() throws Exception {
-       IonFactory f = IonFactory
-                          .builderForBinaryWriters()
-                          .build();
-
        try {
            byte[] bytes = {(byte) 1, (byte) 0};
-           f.createParser(bytes).getDecimalValue();
+           MAPPER.createParser(bytes).getDecimalValue();
            fail("Should not pass (invalid content)");
        } catch (StreamReadException e) {
            assertThat(e.getMessage(), Matchers.containsString("Current token (null) not numeric"));
diff --git a/ion/src/test/java/com/fasterxml/jackson/dataformat/ion/fuzz/Fuzz_65062_VarintTest.java b/ion/src/test/java/com/fasterxml/jackson/dataformat/ion/fuzz/Fuzz_65062_VarintTest.java
new file mode 100644
index 000000000..b9523acff
--- /dev/null
+++ b/ion/src/test/java/com/fasterxml/jackson/dataformat/ion/fuzz/Fuzz_65062_VarintTest.java
@@ -0,0 +1,39 @@
+package com.fasterxml.jackson.dataformat.ion.fuzz;
+
+import java.io.InputStream;
+
+import org.hamcrest.Matchers;
+import org.junit.Test;
+
+import com.fasterxml.jackson.core.JsonParser;
+import com.fasterxml.jackson.core.JsonToken;
+import com.fasterxml.jackson.core.exc.StreamReadException;
+import com.fasterxml.jackson.dataformat.ion.*;
+
+import static org.hamcrest.MatcherAssert.assertThat;
+import static org.junit.Assert.assertEquals;
+import static org.junit.Assert.fail;
+
+// https://bugs.chromium.org/p/oss-fuzz/issues/detail?id=65062
+public class Fuzz_65062_VarintTest
+{
+    final IonObjectMapper MAPPER = IonObjectMapper.builder().build();
+
+    @Test
+    public void testFuzz65062_Varint() throws Exception {
+       try (InputStream in = getClass().getResourceAsStream("/data/fuzz-65062.ion")) {
+           try (JsonParser p = MAPPER.createParser(in)) {
+               assertEquals(JsonToken.START_ARRAY, p.nextToken());
+
+               while (p.nextToken() == JsonToken.VALUE_NUMBER_FLOAT) {
+                   p.getDecimalValue();
+               }
+               assertEquals(JsonToken.END_ARRAY, p.nextToken());
+           }
+           fail("Should not pass (invalid content)");
+       } catch (StreamReadException e) {
+           // 21-Dec-2023, tatu: Not 100% sure why we won't get Number-specific fail but:
+           assertThat(e.getMessage(), Matchers.containsString("Corrupt content to decode; underlying failure"));
+       }
+    }
+}
diff --git a/ion/src/test/resources/data/fuzz-65062.ion b/ion/src/test/resources/data/fuzz-65062.ion
new file mode 100644
index 000000000..1703f7ef9
Binary files /dev/null and b/ion/src/test/resources/data/fuzz-65062.ion differ