825971 has 2 divisors, whose sum is σ = 825972. Its totient is φ = 825970.

The previous prime is 825961. The next prime is 825983. The reversal of 825971 is 179528.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 825971 - 2¹⁰ = 824947 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (825961) 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, 412985 + 412986.

It is an arithmetic number, because the mean of its divisors is an integer number (412986).

2⁸²⁵⁹⁷¹ is an apocalyptic number.

825971 is a deficient number, since it is larger than the sum of its proper divisors (1).

825971 is an equidigital number, since it uses as much as digits as its factorization.

825971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 32.

The square root of 825971 is about 908.8294669519. The cubic root of 825971 is about 93.8256538957.

The spelling of 825971 in words is "eight hundred twenty-five thousand, nine hundred seventy-one".