32 × 5 × 11 × 101
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 101, 165, 303, 495, 505, 909, 1111, 1515, 3333, 4545, 5555, 9999, 16665 and 49995
No.
Its nearest Fibonacci number neighbors are 46368 and 75025.