32 × 7 × 11 × 37
1, 3, 7, 9, 11, 21, 33, 37, 63, 77, 99, 111, 231, 259, 333, 407, 693, 777, 1221, 2331, 2849, 3663, 8547 and 25641
No.
Its nearest Fibonacci number neighbors are 17711 and 28657.