3 × 5 × 43 × 113 × 127
1, 3, 5, 15, 43, 113, 127, 129, 215, 339, 381, 565, 635, 645, 1695, 1905, 4859, 5461, 14351, 14577, 16383, 24295, 27305, 43053, 71755, 72885, 81915, 215265, 617093, 1851279, 3085465 and 9256395
No.
Its nearest Fibonacci number neighbors are 9227465 and 14930352.