2 × 32 × 7 × 13
1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819 and 1638
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.