32 × 7 × 43 × 487
1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 487, 903, 1461, 2709, 3409, 4383, 10227, 20941, 30681, 62823, 146587, 188469, 439761 and 1319283
No.
Its nearest Fibonacci number neighbors are 832040 and 1346269.