825007 has 2 divisors, whose sum is σ = 825008. Its totient is φ = 825006.

The previous prime is 825001. The next prime is 825017. The reversal of 825007 is 700528.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 825007 - 2¹⁹ = 300719 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825007.

It is not a weakly prime, because it can be changed into another prime (825001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412503 + 412504.

It is an arithmetic number, because the mean of its divisors is an integer number (412504).

2⁸²⁵⁰⁰⁷ is an apocalyptic number.

825007 is a deficient number, since it is larger than the sum of its proper divisors (1).

825007 is an equidigital number, since it uses as much as digits as its factorization.

825007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 825007 is about 908.2989595943. The cubic root of 825007 is about 93.7891380291.

The spelling of 825007 in words is "eight hundred twenty-five thousand, seven".