31792 has 10 divisors (see below), whose sum is σ = 61628. Its totient is φ = 15888.

The previous prime is 31771. The next prime is 31793. The reversal of 31792 is 29713.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (31793) by changing a digit.

31792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 978 + ... + 1009.

2³¹⁷⁹² is an apocalyptic number.

It is an amenable number.

31792 is a deficient number, since it is larger than the sum of its proper divisors (29836).

31792 is a wasteful number, since it uses less digits than its factorization.

31792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1989 counting only the distinct ones).

The product of its digits is 378, while the sum is 22.

The square root of 31792 is about 178.3031127042. The cubic root of 31792 is about 31.6790840806.

The spelling of 31792 in words is "thirty-one thousand, seven hundred ninety-two".