31116 has 12 divisors (see below), whose sum is σ = 72632. Its totient is φ = 10368.

The previous prime is 31091. The next prime is 31121. The reversal of 31116 is 61113.

31116 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 2593 = 31116 / (3 + 1 + 1 + 1 + 6).

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

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 31116.

It is an unprimeable number.

31116 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 3 ways as a sum of consecutive naturals, for example, 1285 + ... + 1308.

2³¹¹¹⁶ is an apocalyptic number.

It is an amenable number.

31116 is an abundant number, since it is smaller than the sum of its proper divisors (41516).

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 (36316).

31116 is a wasteful number, since it uses less digits than its factorization.

31116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2598 counting only the distinct ones).

The product of its digits is 18, while the sum is 12.

The square root of 31116 is about 176.3972788906. The cubic root of 31116 is about 31.4529405645.

Adding to 31116 its reverse (61113), we get a palindrome (92229).

The spelling of 31116 in words is "thirty-one thousand, one hundred sixteen".