827138327 has 2 divisors, whose sum is σ = 827138328. Its totient is φ = 827138326.

The previous prime is 827138251. The next prime is 827138359. The reversal of 827138327 is 723831728.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 827138327 - 2¹⁰ = 827137303 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827138827) 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, 413569163 + 413569164.

It is an arithmetic number, because the mean of its divisors is an integer number (413569164).

Almost surely, 2^827138327 is an apocalyptic number.

827138327 is a deficient number, since it is larger than the sum of its proper divisors (1).

827138327 is an equidigital number, since it uses as much as digits as its factorization.

827138327 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 112896, while the sum is 41.

The square root of 827138327 is about 28760.0126390793. The cubic root of 827138327 is about 938.6983368052.

The spelling of 827138327 in words is "eight hundred twenty-seven million, one hundred thirty-eight thousand, three hundred twenty-seven".