32 × 5 × 7 × 19
1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995 and 5985
No.
Its nearest Fibonacci number neighbors are 4181 and 6765.