22 × 33 × 313
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 313, 626, 939, 1252, 1878, 2817, 3756, 5634, 8451, 11268, 16902 and 33804
No.
Its nearest Fibonacci number neighbors are 28657 and 46368.