3 × 5 × 11 × 13 × 67
1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 67, 143, 165, 195, 201, 335, 429, 715, 737, 871, 1005, 2145, 2211, 2613, 3685, 4355, 9581, 11055, 13065, 28743, 47905 and 143715
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.