32 × 11 × 31 × 331
1, 3, 9, 11, 31, 33, 93, 99, 279, 331, 341, 993, 1023, 2979, 3069, 3641, 10261, 10923, 30783, 32769, 92349, 112871, 338613 and 1015839
No.
Its nearest Fibonacci number neighbors are 832040 and 1346269.