32 × 5 × 17 × 389
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 389, 765, 1167, 1945, 3501, 5835, 6613, 17505, 19839, 33065, 59517, 99195 and 297585
No.
Its nearest Fibonacci number neighbors are 196418 and 317811.