33 × 52 × 197
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 197, 225, 591, 675, 985, 1773, 2955, 4925, 5319, 8865, 14775, 26595, 44325 and 132975
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.