827937317 has 2 divisors, whose sum is σ = 827937318. Its totient is φ = 827937316.

The previous prime is 827937277. The next prime is 827937329. The reversal of 827937317 is 713739728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 519794401 + 308142916 = 22799^2 + 17554^2 .

It is a cyclic number.

It is not a de Polignac number, because 827937317 - 2¹⁰ = 827936293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827937377) 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, 413968658 + 413968659.

It is an arithmetic number, because the mean of its divisors is an integer number (413968659).

Almost surely, 2^827937317 is an apocalyptic number.

It is an amenable number.

827937317 is a deficient number, since it is larger than the sum of its proper divisors (1).

827937317 is an equidigital number, since it uses as much as digits as its factorization.

827937317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 444528, while the sum is 47.

The square root of 827937317 is about 28773.8999268434. The cubic root of 827937317 is about 939.0004907067. Note that the first 3 decimals are identical.

The spelling of 827937317 in words is "eight hundred twenty-seven million, nine hundred thirty-seven thousand, three hundred seventeen".