5 × 7 × 11 × 17 × 73
1, 5, 7, 11, 17, 35, 55, 73, 77, 85, 119, 187, 365, 385, 511, 595, 803, 935, 1241, 1309, 2555, 4015, 5621, 6205, 6545, 8687, 13651, 28105, 43435, 68255, 95557 and 477785
No.
Its nearest Fibonacci number neighbors are 317811 and 514229.