32 × 7 × 11 × 31 × 151
1, 3, 7, 9, 11, 21, 31, 33, 63, 77, 93, 99, 151, 217, 231, 279, 341, 453, 651, 693, 1023, 1057, 1359, 1661, 1953, 2387, 3069, 3171, 4681, 4983, 7161, 9513, 11627, 14043, 14949, 21483, 32767, 34881, 42129, 51491, 98301, 104643, 154473, 294903, 360437, 463419, 1081311 and 3243933
No.
Its nearest Fibonacci number neighbors are 2178309 and 3524578.