22 × 3 × 7 × 4259
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 4259, 8518, 12777, 17036, 25554, 29813, 51108, 59626, 89439, 119252, 178878 and 357756
No.
Its nearest Fibonacci number neighbors are 317811 and 514229.