33 × 72 × 839
1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 839, 1323, 2517, 5873, 7551, 17619, 22653, 41111, 52857, 123333, 158571, 369999 and 1109997
No.
Its nearest Fibonacci number neighbors are 832040 and 1346269.