264505921 has 8 divisors (see below), whose sum is σ = 266389160. Its totient is φ = 262628352.

The previous prime is 264505903. The next prime is 264505939. The reversal of 264505921 is 129505462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (264505903) and next prime (264505939).

It can be written as a sum of positive squares in 4 ways, for example, as 5456896 + 259049025 = 2336^2 + 16095^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 264505921 - 2⁵ = 264505889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264505951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135871 + ... + 137803.

It is an arithmetic number, because the mean of its divisors is an integer number (33298645).

Almost surely, 2^264505921 is an apocalyptic number.

It is an amenable number.

264505921 is a deficient number, since it is larger than the sum of its proper divisors (1883239).

264505921 is a wasteful number, since it uses less digits than its factorization.

264505921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 264505921 is about 16263.6380001524. The cubic root of 264505921 is about 641.9163921298.

The spelling of 264505921 in words is "two hundred sixty-four million, five hundred five thousand, nine hundred twenty-one".