3663

3663 is a natural number that lies between 3662 and 3664. It is a four-digit palindromic composite number, meaning its digits read the same forward and backward in base 10 (3-6-6-3).

Its prime factorization is 3^2 × 11 × 37. Consequently, its positive divisors are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, and 3663. The number can also be expressed as 99 × 37 or 111 × 33, highlighting common factor pairs derived from its prime factors.

3663 is an odd composite number. The sum of its proper divisors is 2265 (and the sum of all divisors is 5928). Because 2265 < 3663, the number is deficient, meaning the sum of its proper divisors does not reach the number itself. It is not a Harshad number, since 3663 is not divisible by the sum of its digits (which is 18).

In summary, 3663 is notable mainly for its palindromic form and its factorization into 3^2 × 11 × 37, with several straightforward divisor representations. It does not have widely recognized mathematical properties beyond those typical of a four-digit palindromic composite.