827846317 has 2 divisors, whose sum is σ = 827846318. Its totient is φ = 827846316.

The previous prime is 827846303. The next prime is 827846323. The reversal of 827846317 is 713648728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 805083876 + 22762441 = 28374^2 + 4771^2 .

It is a cyclic number.

It is not a de Polignac number, because 827846317 - 2¹⁵ = 827813549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827844317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413923158 + 413923159.

It is an arithmetic number, because the mean of its divisors is an integer number (413923159).

Almost surely, 2^827846317 is an apocalyptic number.

It is an amenable number.

827846317 is a deficient number, since it is larger than the sum of its proper divisors (1).

827846317 is an equidigital number, since it uses as much as digits as its factorization.

827846317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 451584, while the sum is 46.

The square root of 827846317 is about 28772.3185892274. The cubic root of 827846317 is about 938.9660870654.

The spelling of 827846317 in words is "eight hundred twenty-seven million, eight hundred forty-six thousand, three hundred seventeen".