32 × 7 × 37 × 101
1, 3, 7, 9, 21, 37, 63, 101, 111, 259, 303, 333, 707, 777, 909, 2121, 2331, 3737, 6363, 11211, 26159, 33633, 78477 and 235431
No.
Its nearest Fibonacci number neighbors are 196418 and 317811.