31992 has 32 divisors (see below), whose sum is σ = 84480. Its totient is φ = 10080.

The previous prime is 31991. The next prime is 32003. The reversal of 31992 is 29913.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

31992 is an undulating number in base 6.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31992.

It is not an unprimeable number, because it can be changed into a prime (31991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (2640).

2³¹⁹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42240).

31992 is an abundant number, since it is smaller than the sum of its proper divisors (52488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31992 is a wasteful number, since it uses less digits than its factorization.

31992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 79 counting only the distinct ones).

The product of its digits is 486, while the sum is 24.

The square root of 31992 is about 178.8630761225. The cubic root of 31992 is about 31.7453751504.

The spelling of 31992 in words is "thirty-one thousand, nine hundred ninety-two".