827107663 has 2 divisors, whose sum is σ = 827107664. Its totient is φ = 827107662.

The previous prime is 827107609. The next prime is 827107679. The reversal of 827107663 is 366701728.

827107663 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 827107663 - 2²⁵ = 793553231 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827117663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413553831 + 413553832.

It is an arithmetic number, because the mean of its divisors is an integer number (413553832).

Almost surely, 2^827107663 is an apocalyptic number.

827107663 is a deficient number, since it is larger than the sum of its proper divisors (1).

827107663 is an equidigital number, since it uses as much as digits as its factorization.

827107663 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 827107663 is about 28759.4795328427. The cubic root of 827107663 is about 938.6867367295.

The spelling of 827107663 in words is "eight hundred twenty-seven million, one hundred seven thousand, six hundred sixty-three".