827909161 has 2 divisors, whose sum is σ = 827909162. Its totient is φ = 827909160.

The previous prime is 827909149. The next prime is 827909171. The reversal of 827909161 is 161909728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 753173136 + 74736025 = 27444^2 + 8645^2 .

It is a cyclic number.

It is not a de Polignac number, because 827909161 - 2¹⁵ = 827876393 is a prime.

It is not a weakly prime, because it can be changed into another prime (827909171) 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, 413954580 + 413954581.

It is an arithmetic number, because the mean of its divisors is an integer number (413954581).

Almost surely, 2^827909161 is an apocalyptic number.

It is an amenable number.

827909161 is a deficient number, since it is larger than the sum of its proper divisors (1).

827909161 is an equidigital number, since it uses as much as digits as its factorization.

827909161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 43.

The square root of 827909161 is about 28773.4106598436. The cubic root of 827909161 is about 938.9898462626.

The spelling of 827909161 in words is "eight hundred twenty-seven million, nine hundred nine thousand, one hundred sixty-one".