32 × 7 × 31 × 331
1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 331, 651, 993, 1953, 2317, 2979, 6951, 10261, 20853, 30783, 71827, 92349, 215481 and 646443
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.