31940 has 12 divisors (see below), whose sum is σ = 67116. Its totient is φ = 12768.

The previous prime is 31907. The next prime is 31957. The reversal of 31940 is 4913.

31940 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8836 + 23104 = 94^2 + 152^2 .

31940 is strictly pandigital in base 6.

It is a plaindrome in base 13.

It is an unprimeable number.

31940 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 3 ways as a sum of consecutive naturals, for example, 779 + ... + 818.

It is an arithmetic number, because the mean of its divisors is an integer number (5593).

2³¹⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

31940 is an abundant number, since it is smaller than the sum of its proper divisors (35176).

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 (33558).

31940 is a wasteful number, since it uses less digits than its factorization.

31940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 31940 is about 178.7176544161. The cubic root of 31940 is about 31.7281661117.

The spelling of 31940 in words is "thirty-one thousand, nine hundred forty".