12663

12663 is a natural number that follows 12662 and precedes 12664. In mathematics, it is an odd composite integer with a prime factorization of 3^3 × 7 × 67, meaning it is divisible by 3, 9, 27, 7, 21, 63, 67, 189, 201, 469, 603, 1407, 1809, 4221, and 12663, for a total of 16 positive divisors.

The divisors of 12663 are: 1, 3, 7, 9, 21, 27, 63, 67, 189, 201, 469, 603, 1407, 1809, 4221, and 12663. Its divisibility by 9 and 27 follows from the sum of digits (1+2+6+6+3 = 18, which is divisible by 9) and the factorization 3^3 × 7 × 67. Consequently, 12663 is not a prime number, nor a perfect square or cube.

In base-10 representation, 12663 is not a palindrome. The number is odd and positive, and its factorization shows it is composed of three prime factors (including a triple power of 3), with 3, 7, and 67 as the distinct prime components. As a numerical identifier, 12663 can appear in various catalogs or lists, but it does not have an established, widely cited mathematical significance beyond its factorization and divisor structure.