264523 has 16 divisors (see below), whose sum is σ = 331776. Its totient is φ = 205920.

The previous prime is 264487. The next prime is 264527. The reversal of 264523 is 325462.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 264523 - 2¹⁷ = 133451 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264494 and 264503.

It is not an unprimeable number, because it can be changed into a prime (264527) 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 in 15 ways as a sum of consecutive naturals, for example, 4965 + ... + 5017.

It is an arithmetic number, because the mean of its divisors is an integer number (20736).

2²⁶⁴⁵²³ is an apocalyptic number.

264523 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

264523 is a deficient number, since it is larger than the sum of its proper divisors (67253).

264523 is a wasteful number, since it uses less digits than its factorization.

264523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114.

The product of its digits is 1440, while the sum is 22.

The square root of 264523 is about 514.3179950186. The cubic root of 264523 is about 64.1930207894.

Adding to 264523 its reverse (325462), we get a palindrome (589985).

It can be divided in two parts, 264 and 523, that added together give a palindrome (787).

The spelling of 264523 in words is "two hundred sixty-four thousand, five hundred twenty-three".