23 × 5 × 31 × 61
1, 2, 4, 5, 8, 10, 20, 31, 40, 61, 62, 122, 124, 155, 244, 248, 305, 310, 488, 610, 620, 1220, 1240, 1891, 2440, 3782, 7564, 9455, 15128, 18910, 37820 and 75640
No.
Its nearest Fibonacci number neighbors are 75025 and 121393.