825961 has 2 divisors, whose sum is σ = 825962. Its totient is φ = 825960.

The previous prime is 825959. The next prime is 825971. The reversal of 825961 is 169528.

825961 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., 534361 + 291600 = 731^2 + 540^2 .

It is a cyclic number.

It is not a de Polignac number, because 825961 - 2¹ = 825959 is a prime.

Together with 825959, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (825971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412980 + 412981.

It is an arithmetic number, because the mean of its divisors is an integer number (412981).

2⁸²⁵⁹⁶¹ is an apocalyptic number.

It is an amenable number.

825961 is a deficient number, since it is larger than the sum of its proper divisors (1).

825961 is an equidigital number, since it uses as much as digits as its factorization.

825961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4320, while the sum is 31.

The square root of 825961 is about 908.8239653530. The cubic root of 825961 is about 93.8252752463.

The spelling of 825961 in words is "eight hundred twenty-five thousand, nine hundred sixty-one".