13264 has 10 divisors (see below), whose sum is σ = 25730. Its totient is φ = 6624.

The previous prime is 13259. The next prime is 13267. The reversal of 13264 is 46231.

13264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 1600 = 108^2 + 40^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 829 = 13264 / (1 + 3 + 2 + 6 + 4).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 399 + ... + 430.

It is an arithmetic number, because the mean of its divisors is an integer number (2573).

2¹³²⁶⁴ is an apocalyptic number.

It is an amenable number.

13264 is a deficient number, since it is larger than the sum of its proper divisors (12466).

13264 is an equidigital number, since it uses as much as digits as its factorization.

13264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 831 counting only the distinct ones).

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

The square root of 13264 is about 115.1694403911. The cubic root of 13264 is about 23.6714487020.

Adding to 13264 its reverse (46231), we get a palindrome (59495).

It can be divided in two parts, 132 and 64, that multiplied together give a palindrome (8448).

The spelling of 13264 in words is "thirteen thousand, two hundred sixty-four".