825281 has 2 divisors, whose sum is σ = 825282. Its totient is φ = 825280.

The previous prime is 825277. The next prime is 825283. The reversal of 825281 is 182528.

825281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 672400 + 152881 = 820^2 + 391^2 .

It is a cyclic number.

It is not a de Polignac number, because 825281 - 2² = 825277 is a prime.

It is a super-2 number, since 2×825281² = 1362177457922, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 825283, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 825281.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825281.

It is not a weakly prime, because it can be changed into another prime (825283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412640 + 412641.

It is an arithmetic number, because the mean of its divisors is an integer number (412641).

2⁸²⁵²⁸¹ is an apocalyptic number.

It is an amenable number.

825281 is a deficient number, since it is larger than the sum of its proper divisors (1).

825281 is an equidigital number, since it uses as much as digits as its factorization.

825281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1280, while the sum is 26.

The square root of 825281 is about 908.4497784688. The cubic root of 825281 is about 93.7995199124.

The spelling of 825281 in words is "eight hundred twenty-five thousand, two hundred eighty-one".