826852769 has 2 divisors, whose sum is σ = 826852770. Its totient is φ = 826852768.

The previous prime is 826852757. The next prime is 826852771. The reversal of 826852769 is 967258628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 817273744 + 9579025 = 28588^2 + 3095^2 .

It is a cyclic number.

It is not a de Polignac number, because 826852769 - 2²⁰ = 825804193 is a prime.

It is a super-2 number, since 2×826852769² = 1367371003205934722, which contains 22 as substring.

Together with 826852771, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 826852769.

It is not a weakly prime, because it can be changed into another prime (826852709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413426384 + 413426385.

It is an arithmetic number, because the mean of its divisors is an integer number (413426385).

Almost surely, 2^826852769 is an apocalyptic number.

It is an amenable number.

826852769 is a deficient number, since it is larger than the sum of its proper divisors (1).

826852769 is an equidigital number, since it uses as much as digits as its factorization.

826852769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2903040, while the sum is 53.

The square root of 826852769 is about 28755.0477134016. The cubic root of 826852769 is about 938.5903001910.

The spelling of 826852769 in words is "eight hundred twenty-six million, eight hundred fifty-two thousand, seven hundred sixty-nine".