32 × 7 × 11 × 151
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 151, 231, 453, 693, 1057, 1359, 1661, 3171, 4983, 9513, 11627, 14949, 34881 and 104643
No.
Its nearest Fibonacci number neighbors are 75025 and 121393.