32 × 7 × 127 × 5419
1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 5419, 8001, 16257, 37933, 48771, 113799, 341397, 688213, 2064639, 4817491, 6193917, 14452473 and 43357419
No.
Its nearest Fibonacci number neighbors are 39088169 and 63245986.