31790 has 24 divisors (see below), whose sum is σ = 66312. Its totient is φ = 10880.

The previous prime is 31771. The next prime is 31793. The reversal of 31790 is 9713.

It is a congruent number.

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

31790 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1862 + ... + 1878.

It is an arithmetic number, because the mean of its divisors is an integer number (2763).

2³¹⁷⁹⁰ is an apocalyptic number.

31790 is an abundant number, since it is smaller than the sum of its proper divisors (34522).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33156).

31790 is a wasteful number, since it uses less digits than its factorization.

31790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 31790 is about 178.2975041889. The cubic root of 31790 is about 31.6784197678.

The spelling of 31790 in words is "thirty-one thousand, seven hundred ninety".