32 × 7 × 37 × 333667
1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777, 2331, 333667, 1001001, 2335669, 3003003, 7007007, 12345679, 21021021, 37037037, 86419753, 111111111, 259259259 and 777777777
No.
Its nearest Fibonacci number neighbors are 701408733 and 1134903170.