5 × 7 × 17 × 23 × 73
1, 5, 7, 17, 23, 35, 73, 85, 115, 119, 161, 365, 391, 511, 595, 805, 1241, 1679, 1955, 2555, 2737, 6205, 8395, 8687, 11753, 13685, 28543, 43435, 58765, 142715, 199801 and 999005
No.
Its nearest Fibonacci number neighbors are 832040 and 1346269.