32133864 has 64 divisors (see below), whose sum is σ = 96652800. Its totient is φ = 8697024.

The previous prime is 32133863. The next prime is 32133877. The reversal of 32133864 is 46833123.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32133863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1842 + ... + 8225.

It is an arithmetic number, because the mean of its divisors is an integer number (1510200).

Almost surely, 2^32133864 is an apocalyptic number.

It is an amenable number.

32133864 is an abundant number, since it is smaller than the sum of its proper divisors (64518936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32133864 is a wasteful number, since it uses less digits than its factorization.

32133864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102 (or 10098 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 32133864 is about 5668.6739190043. The cubic root of 32133864 is about 317.9222942132.

Adding to 32133864 its reverse (46833123), we get a palindrome (78966987).

The spelling of 32133864 in words is "thirty-two million, one hundred thirty-three thousand, eight hundred sixty-four".