823508961 has 32 divisors (see below), whose sum is σ = 1224115200. Its totient is φ = 488230080.

The previous prime is 823508929. The next prime is 823508971. The reversal of 823508961 is 169805328.

It is not a de Polignac number, because 823508961 - 2⁵ = 823508929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (823508971) 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 31 ways as a sum of consecutive naturals, for example, 444940 + ... + 446786.

It is an arithmetic number, because the mean of its divisors is an integer number (38253600).

Almost surely, 2^823508961 is an apocalyptic number.

It is an amenable number.

823508961 is a deficient number, since it is larger than the sum of its proper divisors (400606239).

823508961 is a wasteful number, since it uses less digits than its factorization.

823508961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149.

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 823508961 is about 28696.8458371299. The cubic root of 823508961 is about 937.3233652645.

The spelling of 823508961 in words is "eight hundred twenty-three million, five hundred eight thousand, nine hundred sixty-one".