32 × 7 × 11 × 101
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 101, 231, 303, 693, 707, 909, 1111, 2121, 3333, 6363, 7777, 9999, 23331 and 69993
No.
Its nearest Fibonacci number neighbors are 46368 and 75025.