3 × 72 × 13 × 29 × 281
1, 3, 7, 13, 21, 29, 39, 49, 87, 91, 147, 203, 273, 281, 377, 609, 637, 843, 1131, 1421, 1911, 1967, 2639, 3653, 4263, 5901, 7917, 8149, 10959, 13769, 18473, 24447, 25571, 41307, 55419, 57043, 76713, 105937, 171129, 178997, 317811, 399301, 536991, 741559, 1197903, 2224677, 5190913 and 15572739
No.
Its nearest Fibonacci number neighbors are 14930352 and 24157817.