22 × 7 × 31 × 113
1, 2, 4, 7, 14, 28, 31, 62, 113, 124, 217, 226, 434, 452, 791, 868, 1582, 3164, 3503, 7006, 14012, 24521, 49042 and 98084
No.
Its nearest Fibonacci number neighbors are 75025 and 121393.