826872017 has 2 divisors, whose sum is σ = 826872018. Its totient is φ = 826872016.

The previous prime is 826871999. The next prime is 826872029. The reversal of 826872017 is 710278628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 826217536 + 654481 = 28744^2 + 809^2 .

It is a cyclic number.

It is not a de Polignac number, because 826872017 - 2⁸ = 826871761 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (826872037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413436008 + 413436009.

It is an arithmetic number, because the mean of its divisors is an integer number (413436009).

Almost surely, 2^826872017 is an apocalyptic number.

It is an amenable number.

826872017 is a deficient number, since it is larger than the sum of its proper divisors (1).

826872017 is an equidigital number, since it uses as much as digits as its factorization.

826872017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 826872017 is about 28755.3824005176. The cubic root of 826872017 is about 938.5975831668.

The spelling of 826872017 in words is "eight hundred twenty-six million, eight hundred seventy-two thousand, seventeen".