33632 has 12 divisors (see below), whose sum is σ = 66276. Its totient is φ = 16800.

The previous prime is 33629. The next prime is 33637. The reversal of 33632 is 23633.

It is a super-2 number, since 2×33632² = 2262222848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 33632.

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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 494 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (5523).

2³³⁶³² is an apocalyptic number.

33632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33632 is a deficient number, since it is larger than the sum of its proper divisors (32644).

33632 is a wasteful number, since it uses less digits than its factorization.

33632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1053 counting only the distinct ones).

The product of its digits is 324, while the sum is 17.

The square root of 33632 is about 183.3902941816. The cubic root of 33632 is about 32.2788136616.

Subtracting from 33632 its reverse (23633), we obtain a palindrome (9999).

The spelling of 33632 in words is "thirty-three thousand, six hundred thirty-two".