22 × 3 × 67 × 181
1, 2, 3, 4, 6, 12, 67, 134, 181, 201, 268, 362, 402, 543, 724, 804, 1086, 2172, 12127, 24254, 36381, 48508, 72762 and 145524
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.