31052 has 12 divisors (see below), whose sum is σ = 62160. Its totient is φ = 13296.

The previous prime is 31051. The next prime is 31063. The reversal of 31052 is 25013.

31052 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (31051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 527 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (5180).

2³¹⁰⁵² is an apocalyptic number.

It is an amenable number.

31052 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (31080).

31052 is a wasteful number, since it uses less digits than its factorization.

31052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 31052 is about 176.2157768192. The cubic root of 31052 is about 31.4313614210.

Adding to 31052 its reverse (25013), we get a palindrome (56065).

The spelling of 31052 in words is "thirty-one thousand, fifty-two".