32 × 17 × 229 × 241
1, 3, 9, 17, 51, 153, 229, 241, 687, 723, 2061, 2169, 3893, 4097, 11679, 12291, 35037, 36873, 55189, 165567, 496701, 938213, 2814639 and 8443917
No.
Its nearest Fibonacci number neighbors are 5702887 and 9227465.