32 × 29 × 79 × 521
1, 3, 9, 29, 79, 87, 237, 261, 521, 711, 1563, 2291, 4689, 6873, 15109, 20619, 41159, 45327, 123477, 135981, 370431, 1193611, 3580833 and 10742499
No.
Its nearest Fibonacci number neighbors are 9227465 and 14930352.