22 × 3 × 29 × 113
1, 2, 3, 4, 6, 12, 29, 58, 87, 113, 116, 174, 226, 339, 348, 452, 678, 1356, 3277, 6554, 9831, 13108, 19662 and 39324
No.
Its nearest Fibonacci number neighbors are 28657 and 46368.