3 × 72 × 13 × 281
1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 281, 637, 843, 1911, 1967, 3653, 5901, 10959, 13769, 25571, 41307, 76713, 178997 and 536991
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.