23 × 33 × 569
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 569, 1138, 1707, 2276, 3414, 4552, 5121, 6828, 10242, 13656, 15363, 20484, 30726, 40968, 61452 and 122904
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.