31984 has 10 divisors (see below), whose sum is σ = 62000. Its totient is φ = 15984.

The previous prime is 31981. The next prime is 31991. The reversal of 31984 is 48913.

It is a plaindrome in base 9.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 984 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (6200).

2³¹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

31984 is a deficient number, since it is larger than the sum of its proper divisors (30016).

31984 is a wasteful number, since it uses less digits than its factorization.

31984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2001 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 31984 is about 178.8407112489. The cubic root of 31984 is about 31.7427288204.

It can be divided in two parts, 319 and 84, that multiplied together give a triangular number (26796 = T₂₃₁).

The spelling of 31984 in words is "thirty-one thousand, nine hundred eighty-four".