32 × 29 × 151 × 557
1, 3, 9, 29, 87, 151, 261, 453, 557, 1359, 1671, 4379, 5013, 13137, 16153, 39411, 48459, 84107, 145377, 252321, 756963, 2439103, 7317309 and 21951927
No.
Its nearest Fibonacci number neighbors are 14930352 and 24157817.