34 × 151 × 557
1, 3, 9, 27, 81, 151, 453, 557, 1359, 1671, 4077, 5013, 12231, 15039, 45117, 84107, 252321, 756963, 2270889 and 6812667
No.
Its nearest Fibonacci number neighbors are 5702887 and 9227465.