264561 has 8 divisors (see below), whose sum is σ = 384864. Its totient is φ = 160320.

The previous prime is 264559. The next prime is 264577. The reversal of 264561 is 165462.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 264561 - 2¹ = 264559 is a prime.

264561 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264581) 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 7 ways as a sum of consecutive naturals, for example, 3976 + ... + 4041.

It is an arithmetic number, because the mean of its divisors is an integer number (48108).

2²⁶⁴⁵⁶¹ is an apocalyptic number.

It is an amenable number.

264561 is a deficient number, since it is larger than the sum of its proper divisors (120303).

264561 is a wasteful number, since it uses less digits than its factorization.

264561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8031.

The product of its digits is 1440, while the sum is 24.

The square root of 264561 is about 514.3549358177. The cubic root of 264561 is about 64.1960945208.

Subtracting from 264561 its reverse (165462), we obtain a palindrome (99099).

The spelling of 264561 in words is "two hundred sixty-four thousand, five hundred sixty-one".