2 × 3 × 72 × 13
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911 and 3822
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.