3 × 72 × 11 × 37
1, 3, 7, 11, 21, 33, 37, 49, 77, 111, 147, 231, 259, 407, 539, 777, 1221, 1617, 1813, 2849, 5439, 8547, 19943 and 59829
No.
Its nearest Fibonacci number neighbors are 46368 and 75025.