3 × 7 × 13 × 17 × 241
1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 241, 273, 357, 663, 723, 1547, 1687, 3133, 4097, 4641, 5061, 9399, 12291, 21931, 28679, 53261, 65793, 86037, 159783, 372827 and 1118481
No.
Its nearest Fibonacci number neighbors are 832040 and 1346269.