31864 has 16 divisors (see below), whose sum is σ = 68400. Its totient is φ = 13632.

The previous prime is 31859. The next prime is 31873. The reversal of 31864 is 46813.

31864 is nontrivially palindromic in base 6.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent 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, 229 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (4275).

2³¹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

31864 is an abundant number, since it is smaller than the sum of its proper divisors (36536).

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 (34200).

31864 is a wasteful number, since it uses less digits than its factorization.

31864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 31864 is about 178.5049018935. The cubic root of 31864 is about 31.7029808088.

The spelling of 31864 in words is "thirty-one thousand, eight hundred sixty-four".