31064 has 16 divisors (see below), whose sum is σ = 63720. Its totient is φ = 14080.

The previous prime is 31063. The next prime is 31069. The reversal of 31064 is 46013.

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 31064.

It is not an unprimeable number, because it can be changed into a prime (31063) 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, 89 + ... + 264.

2³¹⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

31064 is an abundant number, since it is smaller than the sum of its proper divisors (32656).

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 (31860).

31064 is a wasteful number, since it uses less digits than its factorization.

31064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 31064 is about 176.2498226949. The cubic root of 31064 is about 31.4354097674.

Adding to 31064 its reverse (46013), we get a palindrome (77077).

The spelling of 31064 in words is "thirty-one thousand, sixty-four".