2 × 72 × 79 × 113
1, 2, 7, 14, 49, 79, 98, 113, 158, 226, 553, 791, 1106, 1582, 3871, 5537, 7742, 8927, 11074, 17854, 62489, 124978, 437423 and 874846
No.
Its nearest Fibonacci number neighbors are 832040 and 1346269.