825997 has 2 divisors, whose sum is σ = 825998. Its totient is φ = 825996.

The previous prime is 825991. The next prime is 826019. The reversal of 825997 is 799528.

825997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 670761 + 155236 = 819^2 + 394^2 .

It is a cyclic number.

It is not a de Polignac number, because 825997 - 2¹⁵ = 793229 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412998 + 412999.

It is an arithmetic number, because the mean of its divisors is an integer number (412999).

2⁸²⁵⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

825997 is a deficient number, since it is larger than the sum of its proper divisors (1).

825997 is an equidigital number, since it uses as much as digits as its factorization.

825997 is an evil number, because the sum of its binary digits is even.

The product of its digits is 45360, while the sum is 40.

The square root of 825997 is about 908.8437709530. The cubic root of 825997 is about 93.8266383699.

The spelling of 825997 in words is "eight hundred twenty-five thousand, nine hundred ninety-seven".