33 × 7 × 112 × 13
1, 3, 7, 9, 11, 13, 21, 27, 33, 39, 63, 77, 91, 99, 117, 121, 143, 189, 231, 273, 297, 351, 363, 429, 693, 819, 847, 1001, 1089, 1287, 1573, 2079, 2457, 2541, 3003, 3267, 3861, 4719, 7623, 9009, 11011, 14157, 22869, 27027, 33033, 42471, 99099 and 297297
No.
Its nearest Fibonacci number neighbors are 196418 and 317811.