22 × 3 × 5 × 61
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830 and 3660
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.