3 × 5 × 29 × 43 × 127
1, 3, 5, 15, 29, 43, 87, 127, 129, 145, 215, 381, 435, 635, 645, 1247, 1905, 3683, 3741, 5461, 6235, 11049, 16383, 18415, 18705, 27305, 55245, 81915, 158369, 475107, 791845 and 2375535
No.
Its nearest Fibonacci number neighbors are 2178309 and 3524578.