812825 has 24 divisors (see below), whose sum is σ = 1130136. Its totient is φ = 576000.

The previous prime is 812807. The next prime is 812849. The reversal of 812825 is 528218.

812825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 760384 + 52441 = 872^2 + 229^2 .

It is not a de Polignac number, because 812825 - 2⁶ = 812761 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 812794 and 812803.

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 812825.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13295 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (47089).

2⁸¹²⁸²⁵ is an apocalyptic number.

It is an amenable number.

812825 is a deficient number, since it is larger than the sum of its proper divisors (317311).

812825 is a wasteful number, since it uses less digits than its factorization.

812825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

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

The square root of 812825 is about 901.5680784056. The cubic root of 812825 is about 93.3252189658.

The spelling of 812825 in words is "eight hundred twelve thousand, eight hundred twenty-five".