3 × 52 × 11 × 41
1, 3, 5, 11, 15, 25, 33, 41, 55, 75, 123, 165, 205, 275, 451, 615, 825, 1025, 1353, 2255, 3075, 6765, 11275 and 33825
No.
Its nearest Fibonacci number neighbors are 28657 and 46368.