264953 has 8 divisors (see below), whose sum is σ = 289800. Its totient is φ = 240768.

The previous prime is 264949. The next prime is 264959. The reversal of 264953 is 359462.

It can be written as a sum of positive squares in 4 ways, for example, as 21904 + 243049 = 148^2 + 493^2 .

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 264953 - 2² = 264949 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1043 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (36225).

264953 is a Friedman number, since it can be written as 4^9+(56-3)^2, using all its digits and the basic arithmetic operations.

2²⁶⁴⁹⁵³ is an apocalyptic number.

It is an amenable number.

264953 is a deficient number, since it is larger than the sum of its proper divisors (24847).

264953 is a wasteful number, since it uses less digits than its factorization.

264953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331.

The product of its digits is 6480, while the sum is 29.

The square root of 264953 is about 514.7358545895. The cubic root of 264953 is about 64.2277853222.

It can be divided in two parts, 26 and 4953, that multiplied together give a triangular number (128778 = T₅₀₇).

The spelling of 264953 in words is "two hundred sixty-four thousand, nine hundred fifty-three".