33663 has 12 divisors (see below), whose sum is σ = 52440. Its totient is φ = 19152.

The previous prime is 33647. The next prime is 33679. The reversal of 33663 is 36633.

It is an interprime number because it is at equal distance from previous prime (33647) and next prime (33679).

It is not a de Polignac number, because 33663 - 2⁴ = 33647 is a prime.

It is a super-2 number, since 2×33663² = 2266395138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33613) 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, 33 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (4370).

2³³⁶⁶³ is an apocalyptic number.

33663 is a deficient number, since it is larger than the sum of its proper divisors (18777).

33663 is a wasteful number, since it uses less digits than its factorization.

33663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 33663 is about 183.4747939091. The cubic root of 33663 is about 32.2887281868.

It can be divided in two parts, 33 and 663, that added together give a palindrome (696).

The spelling of 33663 in words is "thirty-three thousand, six hundred sixty-three".