827663201 has 2 divisors, whose sum is σ = 827663202. Its totient is φ = 827663200.

The previous prime is 827663153. The next prime is 827663227. The reversal of 827663201 is 102366728.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 806503201 + 21160000 = 28399^2 + 4600^2 .

It is a cyclic number.

It is not a de Polignac number, because 827663201 - 2¹⁴ = 827646817 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 (827663231) 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, 413831600 + 413831601.

It is an arithmetic number, because the mean of its divisors is an integer number (413831601).

Almost surely, 2^827663201 is an apocalyptic number.

It is an amenable number.

827663201 is a deficient number, since it is larger than the sum of its proper divisors (1).

827663201 is an equidigital number, since it uses as much as digits as its factorization.

827663201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 827663201 is about 28769.1362574548. The cubic root of 827663201 is about 938.8968502238.

The spelling of 827663201 in words is "eight hundred twenty-seven million, six hundred sixty-three thousand, two hundred one".