2 × 3 × 133 × 19
1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 169, 247, 338, 494, 507, 741, 1014, 1482, 2197, 3211, 4394, 6422, 6591, 9633, 13182, 19266, 41743, 83486, 125229 and 250458
No.
Its nearest Fibonacci number neighbors are 196418 and 317811.