31160 has 32 divisors (see below), whose sum is σ = 75600. Its totient is φ = 11520.

The previous prime is 31159. The next prime is 31177. The reversal of 31160 is 6113.

It is a plaindrome in base 13.

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 31160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 740 + ... + 780.

2³¹¹⁶⁰ 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 31160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

31160 is an abundant number, since it is smaller than the sum of its proper divisors (44440).

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

31160 is a wasteful number, since it uses less digits than its factorization.

31160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 31160 is about 176.5219533089. The cubic root of 31160 is about 31.4677590671.

Adding to 31160 its reverse (6113), we get a palindrome (37273).

It can be divided in two parts, 31 and 160, that added together give a palindrome (191).

The spelling of 31160 in words is "thirty-one thousand, one hundred sixty".