825017 has 2 divisors, whose sum is σ = 825018. Its totient is φ = 825016.

The previous prime is 825007. The next prime is 825029. The reversal of 825017 is 710528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 22201 = 896^2 + 149^2 .

It is a cyclic number.

It is not a de Polignac number, because 825017 - 2⁴ = 825001 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 824983 and 825001.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825017.

It is not a weakly prime, because it can be changed into another prime (825007) 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, 412508 + 412509.

It is an arithmetic number, because the mean of its divisors is an integer number (412509).

2⁸²⁵⁰¹⁷ is an apocalyptic number.

It is an amenable number.

825017 is a deficient number, since it is larger than the sum of its proper divisors (1).

825017 is an equidigital number, since it uses as much as digits as its factorization.

825017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 825017 is about 908.3044643730. The cubic root of 825017 is about 93.7895169703.

The spelling of 825017 in words is "eight hundred twenty-five thousand, seventeen".