diff --git a/Tests/test_file_png.py b/Tests/test_file_png.py
index 469d186e816..476995dd7a6 100644
--- a/Tests/test_file_png.py
+++ b/Tests/test_file_png.py
@@ -637,6 +637,9 @@ def test_seek(self):
         with Image.open(TEST_PNG_FILE) as im:
             im.seek(0)
 
+            with pytest.raises(EOFError):
+                im.seek(1)
+
 
 @pytest.mark.skipif(is_win32(), reason="Requires Unix or macOS")
 @skip_unless_feature("zlib")
diff --git a/docs/reference/plugins.rst b/docs/reference/plugins.rst
index 46f657fce57..cc0742fde44 100644
--- a/docs/reference/plugins.rst
+++ b/docs/reference/plugins.rst
@@ -229,7 +229,7 @@ Plugin reference
 ----------------------------
 
 .. automodule:: PIL.PngImagePlugin
-    :members: ChunkStream, PngImageFile, PngStream, getchunks, is_cid, putchunk
+    :members: ChunkStream, PngStream, getchunks, is_cid, putchunk
     :show-inheritance:
 .. autoclass:: PIL.PngImagePlugin.ChunkStream
     :members:
diff --git a/src/PIL/PngImagePlugin.py b/src/PIL/PngImagePlugin.py
index 0291df4b097..ee9d52b4cc6 100644
--- a/src/PIL/PngImagePlugin.py
+++ b/src/PIL/PngImagePlugin.py
@@ -673,7 +673,7 @@ def _open(self):
         self._text = None
         self.tile = self.png.im_tile
         self.custom_mimetype = self.png.im_custom_mimetype
-        self._n_frames = self.png.im_n_frames
+        self.n_frames = self.png.im_n_frames or 1
         self.default_image = self.info.get("default_image", False)
 
         if self.png.im_palette:
@@ -685,15 +685,16 @@ def _open(self):
         else:
             self.__prepare_idat = length  # used by load_prepare()
 
-        if self._n_frames is not None:
+        if self.png.im_n_frames is not None:
             self._close_exclusive_fp_after_loading = False
             self.png.save_rewind()
             self.__rewind_idat = self.__prepare_idat
             self.__rewind = self.__fp.tell()
             if self.default_image:
                 # IDAT chunk contains default image and not first animation frame
-                self._n_frames += 1
+                self.n_frames += 1
             self._seek(0)
+        self.is_animated = self.n_frames > 1
 
     @property
     def text(self):
@@ -710,16 +711,6 @@ def text(self):
                 self.seek(frame)
         return self._text
 
-    @property
-    def n_frames(self):
-        if self._n_frames is None:
-            return 1
-        return self._n_frames
-
-    @property
-    def is_animated(self):
-        return self._n_frames is not None and self._n_frames > 1
-
     def verify(self):
         """Verify PNG file"""