33638 has 12 divisors (see below), whose sum is σ = 55860. Its totient is φ = 15180.

The previous prime is 33637. The next prime is 33641. The reversal of 33638 is 83633.

It is a super-2 number, since 2×33638² = 2263030088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (4655).

2³³⁶³⁸ is an apocalyptic number.

33638 is a deficient number, since it is larger than the sum of its proper divisors (22222).

33638 is a wasteful number, since it uses less digits than its factorization.

33638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 33638 is about 183.4066520059. The cubic root of 33638 is about 32.2807330772.

The spelling of 33638 in words is "thirty-three thousand, six hundred thirty-eight".