825813 has 6 divisors (see below), whose sum is σ = 1192854. Its totient is φ = 550536.

The previous prime is 825791. The next prime is 825821. The reversal of 825813 is 318528.

It is a happy number.

825813 is a `hidden beast` number, since 82 + 581 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 815409 + 10404 = 903^2 + 102^2 .

It is not a de Polignac number, because 825813 - 2⁶ = 825749 is a prime.

It is a super-2 number, since 2×825813² = 1363934221938, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825813.

It is not an unprimeable number, because it can be changed into a prime (825883) 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 in 5 ways as a sum of consecutive naturals, for example, 45870 + ... + 45887.

It is an arithmetic number, because the mean of its divisors is an integer number (198809).

2⁸²⁵⁸¹³ is an apocalyptic number.

It is an amenable number.

825813 is a deficient number, since it is larger than the sum of its proper divisors (367041).

825813 is a wasteful number, since it uses less digits than its factorization.

825813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91763 (or 91760 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 825813 is about 908.7425377960. The cubic root of 825813 is about 93.8196708775.

The spelling of 825813 in words is "eight hundred twenty-five thousand, eight hundred thirteen".