22 × 3 × 5 × 43
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290 and 2580
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.