32 × 31 × 37 × 271
1, 3, 9, 31, 37, 93, 111, 271, 279, 333, 813, 1147, 2439, 3441, 8401, 10027, 10323, 25203, 30081, 75609, 90243, 310837, 932511 and 2797533
No.
Its nearest Fibonacci number neighbors are 2178309 and 3524578.