32 × 133 × 19
1, 3, 9, 13, 19, 39, 57, 117, 169, 171, 247, 507, 741, 1521, 2197, 2223, 3211, 6591, 9633, 19773, 28899, 41743, 125229 and 375687
No.
Its nearest Fibonacci number neighbors are 317811 and 514229.