827000813 has 2 divisors, whose sum is σ = 827000814. Its totient is φ = 827000812.

The previous prime is 827000803. The next prime is 827000833. The reversal of 827000813 is 318000728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 779693929 + 47306884 = 27923^2 + 6878^2 .

It is a cyclic number.

It is not a de Polignac number, because 827000813 - 2⁶ = 827000749 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827000803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413500406 + 413500407.

It is an arithmetic number, because the mean of its divisors is an integer number (413500407).

Almost surely, 2^827000813 is an apocalyptic number.

It is an amenable number.

827000813 is a deficient number, since it is larger than the sum of its proper divisors (1).

827000813 is an equidigital number, since it uses as much as digits as its factorization.

827000813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 827000813 is about 28757.6218244833. The cubic root of 827000813 is about 938.6463135369.

The spelling of 827000813 in words is "eight hundred twenty-seven million, eight hundred thirteen", and thus it is an aban number.