31956 has 12 divisors (see below), whose sum is σ = 74592. Its totient is φ = 10648.

The previous prime is 31907. The next prime is 31957. The reversal of 31956 is 65913.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31957) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1320 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (6216).

2³¹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

31956 is an abundant number, since it is smaller than the sum of its proper divisors (42636).

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 (37296).

31956 is a wasteful number, since it uses less digits than its factorization.

31956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2668 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 31956 is about 178.7624121565. The cubic root of 31956 is about 31.7334631887.

The spelling of 31956 in words is "thirty-one thousand, nine hundred fifty-six".