264971 has 4 divisors (see below), whose sum is σ = 302832. Its totient is φ = 227112.

The previous prime is 264961. The next prime is 264977. The reversal of 264971 is 179462.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 264971 - 2¹⁴ = 248587 is a prime.

It is a d-powerful number, because it can be written as 2⁷ + 6³ + 9² + 4⁹ + 7⁴ + 1 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264977) 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 3 ways as a sum of consecutive naturals, for example, 18920 + ... + 18933.

It is an arithmetic number, because the mean of its divisors is an integer number (75708).

2²⁶⁴⁹⁷¹ is an apocalyptic number.

264971 is a deficient number, since it is larger than the sum of its proper divisors (37861).

264971 is an equidigital number, since it uses as much as digits as its factorization.

264971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37860.

The product of its digits is 3024, while the sum is 29.

The square root of 264971 is about 514.7533389887. The cubic root of 264971 is about 64.2292397613.

The spelling of 264971 in words is "two hundred sixty-four thousand, nine hundred seventy-one".