32792 has 8 divisors (see below), whose sum is σ = 61500. Its totient is φ = 16392.

The previous prime is 32789. The next prime is 32797. The reversal of 32792 is 29723.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32792.

It is not an unprimeable number, because it can be changed into a prime (32797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2042 + ... + 2057.

2³²⁷⁹² is an apocalyptic number.

It is an amenable number.

32792 is a deficient number, since it is larger than the sum of its proper divisors (28708).

32792 is a wasteful number, since it uses less digits than its factorization.

32792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4101 counting only the distinct ones).

The product of its digits is 756, while the sum is 23.

The square root of 32792 is about 181.0856151106. The cubic root of 32792 is about 32.0078105934.

The spelling of 32792 in words is "thirty-two thousand, seven hundred ninety-two".