825697 has 2 divisors, whose sum is σ = 825698. Its totient is φ = 825696.

The previous prime is 825689. The next prime is 825701. The reversal of 825697 is 796528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 421201 + 404496 = 649^2 + 636^2 .

It is a cyclic number.

It is not a de Polignac number, because 825697 - 2³ = 825689 is a prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (825637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412848 + 412849.

It is an arithmetic number, because the mean of its divisors is an integer number (412849).

2⁸²⁵⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

825697 is a deficient number, since it is larger than the sum of its proper divisors (1).

825697 is an equidigital number, since it uses as much as digits as its factorization.

825697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 37.

The square root of 825697 is about 908.6787110965. The cubic root of 825697 is about 93.8152777960.

The spelling of 825697 in words is "eight hundred twenty-five thousand, six hundred ninety-seven".