31842 has 24 divisors (see below), whose sum is σ = 72540. Its totient is φ = 10080.

The previous prime is 31817. The next prime is 31847. The reversal of 31842 is 24813.

It is a happy number.

31842 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29241 + 2601 = 171^2 + 51^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31842.

It is not an unprimeable number, because it can be changed into a prime (31847) by changing a digit.

31842 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492 + ... + 552.

2³¹⁸⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36270).

31842 is an abundant number, since it is smaller than the sum of its proper divisors (40698).

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

31842 is a wasteful number, since it uses less digits than its factorization.

31842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 95 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 31842 is about 178.4432682956. The cubic root of 31842 is about 31.6956828534.

The spelling of 31842 in words is "thirty-one thousand, eight hundred forty-two".