31938 has 8 divisors (see below), whose sum is σ = 63888. Its totient is φ = 10644.

The previous prime is 31907. The next prime is 31957. The reversal of 31938 is 83913.

It is a sphenic number, since it is the product of 3 distinct primes.

31938 is an admirable number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2656 + ... + 2667.

It is an arithmetic number, because the mean of its divisors is an integer number (7986).

2³¹⁹³⁸ is an apocalyptic number.

31938 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (31944).

31938 is a wasteful number, since it uses less digits than its factorization.

31938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328.

The product of its digits is 648, while the sum is 24.

The square root of 31938 is about 178.7120589104. The cubic root of 31938 is about 31.7275038527.

It can be divided in two parts, 31 and 938, that added together give a palindrome (969).

The spelling of 31938 in words is "thirty-one thousand, nine hundred thirty-eight".