827686729 has 2 divisors, whose sum is σ = 827686730. Its totient is φ = 827686728.

The previous prime is 827686723. The next prime is 827686757. The reversal of 827686729 is 927686728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 814531600 + 13155129 = 28540^2 + 3627^2 .

It is a cyclic number.

It is not a de Polignac number, because 827686729 - 2¹⁵ = 827653961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827686729.

It is not a weakly prime, because it can be changed into another prime (827686723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413843364 + 413843365.

It is an arithmetic number, because the mean of its divisors is an integer number (413843365).

Almost surely, 2^827686729 is an apocalyptic number.

It is an amenable number.

827686729 is a deficient number, since it is larger than the sum of its proper divisors (1).

827686729 is an equidigital number, since it uses as much as digits as its factorization.

827686729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4064256, while the sum is 55.

The square root of 827686729 is about 28769.5451649831. The cubic root of 827686729 is about 938.9057468200.

Subtracting 827686729 from its reverse (927686728), we obtain a palindrome (99999999).

The spelling of 827686729 in words is "eight hundred twenty-seven million, six hundred eighty-six thousand, seven hundred twenty-nine".