32 × 7 × 13 × 37
1, 3, 7, 9, 13, 21, 37, 39, 63, 91, 111, 117, 259, 273, 333, 481, 777, 819, 1443, 2331, 3367, 4329, 10101 and 30303
No.
Its nearest Fibonacci number neighbors are 28657 and 46368.