3 × 5 × 29 × 47 × 571
1, 3, 5, 15, 29, 47, 87, 141, 145, 235, 435, 571, 705, 1363, 1713, 2855, 4089, 6815, 8565, 16559, 20445, 26837, 49677, 80511, 82795, 134185, 248385, 402555, 778273, 2334819, 3891365 and 11674095
No.
Its nearest Fibonacci number neighbors are 9227465 and 14930352.