22 × 3 × 23 × 167
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 167, 276, 334, 501, 668, 1002, 2004, 3841, 7682, 11523, 15364, 23046 and 46092
No.
Its nearest Fibonacci number neighbors are 28657 and 46368.