3 × 74 × 73
1, 3, 7, 21, 49, 73, 147, 219, 343, 511, 1029, 1533, 2401, 3577, 7203, 10731, 25039, 75117, 175273 and 525819
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.