3663 has 12 divisors (see below), whose sum is σ = 5928. Its totient is φ = 2160.

The previous prime is 3659. The next prime is 3671.

3663 is a `hidden beast` number, since 3 + 663 = 666.

3663 is nontrivially palindromic in base 8 and base 10.

It is not a de Polignac number, because 3663 - 2² = 3659 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

Its product of digits (324) is a multiple of the sum of its prime factors (54).

3663 is a lucky number.

It is a plaindrome in base 13 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (494).

3663 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3663 is a deficient number, since it is larger than the sum of its proper divisors (2265).

3663 is a wasteful number, since it uses less digits than its factorization.

3663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 51 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 3663 is about 60.5227230055. The cubic root of 3663 is about 15.4150749107.

It can be divided in two parts, 36 and 63, that added together give a palindrome (99).

The spelling of 3663 in words is "three thousand, six hundred sixty-three".