827607113 has 2 divisors, whose sum is σ = 827607114. Its totient is φ = 827607112.

The previous prime is 827607103. The next prime is 827607139. The reversal of 827607113 is 311706728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 448253584 + 379353529 = 21172^2 + 19477^2 .

It is a cyclic number.

It is not a de Polignac number, because 827607113 - 2⁴ = 827607097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_42491906 and since 827607113 and 42491906 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (827607103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413803556 + 413803557.

It is an arithmetic number, because the mean of its divisors is an integer number (413803557).

Almost surely, 2^827607113 is an apocalyptic number.

It is an amenable number.

827607113 is a deficient number, since it is larger than the sum of its proper divisors (1).

827607113 is an equidigital number, since it uses as much as digits as its factorization.

827607113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 827607113 is about 28768.1614462934. The cubic root of 827607113 is about 938.8756410991.

The spelling of 827607113 in words is "eight hundred twenty-seven million, six hundred seven thousand, one hundred thirteen".