32 × 31 × 151 × 331
1, 3, 9, 31, 93, 151, 279, 331, 453, 993, 1359, 2979, 4681, 10261, 14043, 30783, 42129, 49981, 92349, 149943, 449829, 1549411, 4648233 and 13944699
No.
Its nearest Fibonacci number neighbors are 9227465 and 14930352.