2 × 32 × 5 × 73
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285 and 6570
No.
Its nearest Fibonacci number neighbors are 4181 and 6765.