22 × 3 × 19 × 587
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 587, 1174, 1761, 2348, 3522, 7044, 11153, 22306, 33459, 44612, 66918 and 133836
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.