3 × 11 × 13 × 23 × 29
1, 3, 11, 13, 23, 29, 33, 39, 69, 87, 143, 253, 299, 319, 377, 429, 667, 759, 897, 957, 1131, 2001, 3289, 4147, 7337, 8671, 9867, 12441, 22011, 26013, 95381 and 286143
No.
Its nearest Fibonacci number neighbors are 196418 and 317811.