31158 has 16 divisors (see below), whose sum is σ = 69360. Its totient is φ = 10368.

The previous prime is 31153. The next prime is 31159. The reversal of 31158 is 85113.

It is a happy number.

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

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 31158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31151) by changing a digit.

31158 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 7 ways as a sum of consecutive naturals, for example, 235 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (4335).

2³¹¹⁵⁸ is an apocalyptic number.

31158 is an abundant number, since it is smaller than the sum of its proper divisors (38202).

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 (34680).

31158 is a wasteful number, since it uses less digits than its factorization.

31158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 31158 is about 176.5162882003. The cubic root of 31158 is about 31.4670858015.

The spelling of 31158 in words is "thirty-one thousand, one hundred fifty-eight".