33 × 5 × 23 × 101
1, 3, 5, 9, 15, 23, 27, 45, 69, 101, 115, 135, 207, 303, 345, 505, 621, 909, 1035, 1515, 2323, 2727, 3105, 4545, 6969, 11615, 13635, 20907, 34845, 62721, 104535 and 313605
No.
Its nearest Fibonacci number neighbors are 196418 and 317811.