810825 has 24 divisors (see below), whose sum is σ = 1413600. Its totient is φ = 408960.

The previous prime is 810809. The next prime is 810839. The reversal of 810825 is 528018.

It is not a de Polignac number, because 810825 - 2⁴ = 810809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 810795 and 810804.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1141 + ... + 1709.

It is an arithmetic number, because the mean of its divisors is an integer number (58900).

2⁸¹⁰⁸²⁵ is an apocalyptic number.

It is an amenable number.

810825 is a deficient number, since it is larger than the sum of its proper divisors (602775).

810825 is a wasteful number, since it uses less digits than its factorization.

810825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 810825 is about 900.4582166875. The cubic root of 810825 is about 93.2486121786.

The spelling of 810825 in words is "eight hundred ten thousand, eight hundred twenty-five".