31264 has 12 divisors (see below), whose sum is σ = 61614. Its totient is φ = 15616.

The previous prime is 31259. The next prime is 31267. The reversal of 31264 is 46213.

It can be written as a sum of positive squares in only one way, i.e., 19600 + 11664 = 140^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (31267) by changing a digit.

31264 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 as a sum of consecutive naturals, namely, 457 + ... + 520.

2³¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

31264 is a deficient number, since it is larger than the sum of its proper divisors (30350).

31264 is an equidigital number, since it uses as much as digits as its factorization.

31264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 979 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 31264 is about 176.8162888424. The cubic root of 31264 is about 31.5027292504.

Adding to 31264 its reverse (46213), we get a palindrome (77477).

The spelling of 31264 in words is "thirty-one thousand, two hundred sixty-four".