264961 has 2 divisors, whose sum is σ = 264962. Its totient is φ = 264960.

The previous prime is 264959. The next prime is 264977. The reversal of 264961 is 169462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211600 + 53361 = 460^2 + 231^2 .

It is a cyclic number.

It is not a de Polignac number, because 264961 - 2¹ = 264959 is a prime.

Together with 264959, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (264931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132480 + 132481.

It is an arithmetic number, because the mean of its divisors is an integer number (132481).

2²⁶⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

264961 is a deficient number, since it is larger than the sum of its proper divisors (1).

264961 is an equidigital number, since it uses as much as digits as its factorization.

264961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

The square root of 264961 is about 514.7436255069. The cubic root of 264961 is about 64.2284317477.

It can be divided in two parts, 264 and 961, that added together give a triangular number (1225 = T₄₉).

The spelling of 264961 in words is "two hundred sixty-four thousand, nine hundred sixty-one".