2 × 32 × 7 × 19
1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197 and 2394
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.