264836241 has 12 divisors (see below), whose sum is σ = 386330100. Its totient is φ = 174808800.

The previous prime is 264836239. The next prime is 264836279. The reversal of 264836241 is 142638462.

264836241 is a `hidden beast` number, since 2 + 648 + 3 + 6 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114062400 + 150773841 = 10680^2 + 12279^2 .

It is not a de Polignac number, because 264836241 - 2¹ = 264836239 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 264836196 and 264836205.

It is not an unprimeable number, because it can be changed into a prime (264836291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144766 + ... + 146583.

It is an arithmetic number, because the mean of its divisors is an integer number (32194175).

Almost surely, 2^264836241 is an apocalyptic number.

It is an amenable number.

264836241 is a deficient number, since it is larger than the sum of its proper divisors (121493859).

264836241 is a wasteful number, since it uses less digits than its factorization.

264836241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291456 (or 291453 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 264836241 is about 16273.7900011030. The cubic root of 264836241 is about 642.1834934199.

The spelling of 264836241 in words is "two hundred sixty-four million, eight hundred thirty-six thousand, two hundred forty-one".