2 × 35 × 137
1, 2, 3, 6, 9, 18, 27, 54, 81, 137, 162, 243, 274, 411, 486, 822, 1233, 2466, 3699, 7398, 11097, 22194, 33291 and 66582
No.
Its nearest Fibonacci number neighbors are 46368 and 75025.