22 × 3 × 11 × 3083
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 3083, 6166, 9249, 12332, 18498, 33913, 36996, 67826, 101739, 135652, 203478 and 406956
No.
Its nearest Fibonacci number neighbors are 317811 and 514229.