31164 has 36 divisors (see below), whose sum is σ = 86184. Its totient is φ = 8736.

The previous prime is 31159. The next prime is 31177. The reversal of 31164 is 46113.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

31164 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, 562 + ... + 614.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

2³¹¹⁶⁴ 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 31164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092).

31164 is an abundant number, since it is smaller than the sum of its proper divisors (55020).

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

31164 is a wasteful number, since it uses less digits than its factorization.

31164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 31164 is about 176.5332829809. The cubic root of 31164 is about 31.4691055118.

Adding to 31164 its reverse (46113), we get a palindrome (77277).

The spelling of 31164 in words is "thirty-one thousand, one hundred sixty-four".