diff --git a/lib/output.js b/lib/output.js
index e4987179..c6d6355b 100644
--- a/lib/output.js
+++ b/lib/output.js
@@ -1106,6 +1106,20 @@ function OutputStream(options) {
         self._do_print(output);
     });
 
+    DEFPRINT(AST_Function, function(self, output) {
+        var parent = output.parent();
+        var grandparent = output.parent(1);
+        var is_exported_iife = parent instanceof AST_Call && parent.expression == self &&
+            grandparent instanceof AST_Export && grandparent.is_default;
+        if (is_exported_iife) {
+            output.with_parens(function() {
+                self._do_print(output);
+            });
+        } else {
+            self._do_print(output);
+        }
+    });
+
     DEFPRINT(AST_PrefixedTemplateString, function(self, output) {
         self.prefix.print(output);
         self.template_string.print(output);
diff --git a/test/compress/export.js b/test/compress/export.js
index 783fa80a..34cf2606 100644
--- a/test/compress/export.js
+++ b/test/compress/export.js
@@ -410,7 +410,7 @@ export_default_anonymous_function_not_call: {
         export default function(){}(foo);
     }
     // FIXME: should be `export default function(){};foo;`
-    expect_exact: "export default function(){}(foo);"
+    expect_exact: "export default(function(){})(foo);"
 }
 
 export_default_anonymous_generator_not_call: {
diff --git a/test/compress/issue-2977.js b/test/compress/issue-2977.js
new file mode 100644
index 00000000..853e0a43
--- /dev/null
+++ b/test/compress/issue-2977.js
@@ -0,0 +1,7 @@
+
+issue_2977: {
+    input: {
+        export default (function () {})();
+    }
+    expect_exact: "export default(function(){})();"
+}