827940161 has 2 divisors, whose sum is σ = 827940162. Its totient is φ = 827940160.

The previous prime is 827940151. The next prime is 827940163. The reversal of 827940161 is 161049728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 809061136 + 18879025 = 28444^2 + 4345^2 .

It is a cyclic number.

It is not a de Polignac number, because 827940161 - 2¹⁰ = 827939137 is a prime.

It is a Sophie Germain prime.

Together with 827940163, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (827940163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413970080 + 413970081.

It is an arithmetic number, because the mean of its divisors is an integer number (413970081).

Almost surely, 2^827940161 is an apocalyptic number.

It is an amenable number.

827940161 is a deficient number, since it is larger than the sum of its proper divisors (1).

827940161 is an equidigital number, since it uses as much as digits as its factorization.

827940161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 827940161 is about 28773.9493465878. The cubic root of 827940161 is about 939.0015658744.

Adding to 827940161 its reverse (161049728), we get a palindrome (988989889).

The spelling of 827940161 in words is "eight hundred twenty-seven million, nine hundred forty thousand, one hundred sixty-one".