817013 has 2 divisors, whose sum is σ = 817014. Its totient is φ = 817012.

The previous prime is 816971. The next prime is 817027. The reversal of 817013 is 310718.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 806404 + 10609 = 898^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 817013 - 2¹⁰ = 815989 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (817073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 408506 + 408507.

It is an arithmetic number, because the mean of its divisors is an integer number (408507).

2⁸¹⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

817013 is a deficient number, since it is larger than the sum of its proper divisors (1).

817013 is an equidigital number, since it uses as much as digits as its factorization.

817013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 817013 is about 903.8877142654. The cubic root of 817013 is about 93.4852274411.

The spelling of 817013 in words is "eight hundred seventeen thousand, thirteen".