827093117 has 2 divisors, whose sum is σ = 827093118. Its totient is φ = 827093116.

The previous prime is 827093039. The next prime is 827093119. The reversal of 827093117 is 711390728.

827093117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 606095161 + 220997956 = 24619^2 + 14866^2 .

It is a cyclic number.

It is not a de Polignac number, because 827093117 - 2²⁸ = 558657661 is a prime.

Together with 827093119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827093119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413546558 + 413546559.

It is an arithmetic number, because the mean of its divisors is an integer number (413546559).

Almost surely, 2^827093117 is an apocalyptic number.

It is an amenable number.

827093117 is a deficient number, since it is larger than the sum of its proper divisors (1).

827093117 is an equidigital number, since it uses as much as digits as its factorization.

827093117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 827093117 is about 28759.2266412016. The cubic root of 827093117 is about 938.6812339323.

The spelling of 827093117 in words is "eight hundred twenty-seven million, ninety-three thousand, one hundred seventeen".