264882033 has 24 divisors (see below), whose sum is σ = 417696552. Its totient is φ = 160766208.

The previous prime is 264882019. The next prime is 264882041. The reversal of 264882033 is 330288462.

264882033 is a `hidden beast` number, since 2 + 648 + 8 + 2 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5253264 + 259628769 = 2292^2 + 16113^2 .

It is not a de Polignac number, because 264882033 - 2¹² = 264877937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (264882733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6966 + ... + 24047.

It is an arithmetic number, because the mean of its divisors is an integer number (17404023).

Almost surely, 2^264882033 is an apocalyptic number.

It is an amenable number.

264882033 is a deficient number, since it is larger than the sum of its proper divisors (152814519).

264882033 is a wasteful number, since it uses less digits than its factorization.

264882033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31105 (or 31102 counting only the distinct ones).

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

The square root of 264882033 is about 16275.1968651688. The cubic root of 264882033 is about 642.2205039283.

It can be divided in two parts, 2648 and 82033, that added together give a square (84681 = 291²).

The spelling of 264882033 in words is "two hundred sixty-four million, eight hundred eighty-two thousand, thirty-three".