827256161 has 2 divisors, whose sum is σ = 827256162. Its totient is φ = 827256160.

The previous prime is 827256149. The next prime is 827256167. The reversal of 827256161 is 161652728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 814759936 + 12496225 = 28544^2 + 3535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-827256161 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (827256167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413628080 + 413628081.

It is an arithmetic number, because the mean of its divisors is an integer number (413628081).

Almost surely, 2^827256161 is an apocalyptic number.

It is an amenable number.

827256161 is a deficient number, since it is larger than the sum of its proper divisors (1).

827256161 is an equidigital number, since it uses as much as digits as its factorization.

827256161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 40320, while the sum is 38.

The square root of 827256161 is about 28762.0611396332. The cubic root of 827256161 is about 938.7429102959.

The spelling of 827256161 in words is "eight hundred twenty-seven million, two hundred fifty-six thousand, one hundred sixty-one".