23 × 3 × 7 × 4259
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 4259, 8518, 12777, 17036, 25554, 29813, 34072, 51108, 59626, 89439, 102216, 119252, 178878, 238504, 357756 and 715512
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.