827313727 has 2 divisors, whose sum is σ = 827313728. Its totient is φ = 827313726.

The previous prime is 827313719. The next prime is 827313733. The reversal of 827313727 is 727313728.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 827313727 - 2³ = 827313719 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827313727.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827313527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413656863 + 413656864.

It is an arithmetic number, because the mean of its divisors is an integer number (413656864).

Almost surely, 2^827313727 is an apocalyptic number.

827313727 is a deficient number, since it is larger than the sum of its proper divisors (1).

827313727 is an equidigital number, since it uses as much as digits as its factorization.

827313727 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 98784, while the sum is 40.

The square root of 827313727 is about 28763.0618502273. The cubic root of 827313727 is about 938.7646844547.

Subtracting from 827313727 its reverse (727313728), we obtain a palindrome (99999999).

The spelling of 827313727 in words is "eight hundred twenty-seven million, three hundred thirteen thousand, seven hundred twenty-seven".