85824113 has 2 divisors, whose sum is σ = 85824114. Its totient is φ = 85824112.

The previous prime is 85824107. The next prime is 85824157. The reversal of 85824113 is 31142858.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85063729 + 760384 = 9223^2 + 872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85824113 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85824113.

It is not a weakly prime, because it can be changed into another prime (85824103) 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 as a sum of consecutive naturals, namely, 42912056 + 42912057.

It is an arithmetic number, because the mean of its divisors is an integer number (42912057).

Almost surely, 2^85824113 is an apocalyptic number.

It is an amenable number.

85824113 is a deficient number, since it is larger than the sum of its proper divisors (1).

85824113 is an equidigital number, since it uses as much as digits as its factorization.

85824113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7680, while the sum is 32.

The square root of 85824113 is about 9264.1304502905. The cubic root of 85824113 is about 441.0993737764.

The spelling of 85824113 in words is "eighty-five million, eight hundred twenty-four thousand, one hundred thirteen".