A cyclic number is an (n - 1)-digit integer that, when multiplied by 1, 2, 3, ..., n - 1, produces the same digits in a different order. Cyclic numbers are generated by the full reptend primes, i.e., 7, 17, 19, 23, 29, 47, 59, 61, 97, ... (OEIS A001913).