264577 has 2 divisors, whose sum is σ = 264578. Its totient is φ = 264576.

The previous prime is 264559. The next prime is 264581. The reversal of 264577 is 775462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141376 + 123201 = 376^2 + 351^2 .

It is a cyclic number.

It is not a de Polignac number, because 264577 - 2¹⁵ = 231809 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (264527) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132288 + 132289.

It is an arithmetic number, because the mean of its divisors is an integer number (132289).

2²⁶⁴⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

264577 is a deficient number, since it is larger than the sum of its proper divisors (1).

264577 is an equidigital number, since it uses as much as digits as its factorization.

264577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11760, while the sum is 31.

The square root of 264577 is about 514.3704890446. The cubic root of 264577 is about 64.1973886355.

It can be divided in two parts, 264 and 577, that added together give a square (841 = 29²).

The spelling of 264577 in words is "two hundred sixty-four thousand, five hundred seventy-seven".