825876 has 30 divisors (see below), whose sum is σ = 2159850. Its totient is φ = 275184.

The previous prime is 825857. The next prime is 825883. The reversal of 825876 is 678528.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 15876 = 900^2 + 126^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 8 + 2⁹ + 8³ + 5 + 7⁷ + 6⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 825876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 951 + ... + 1598.

It is an arithmetic number, because the mean of its divisors is an integer number (71995).

2⁸²⁵⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

825876 is an abundant number, since it is smaller than the sum of its proper divisors (1333974).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825876 is a wasteful number, since it uses less digits than its factorization.

825876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2554 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 825876 is about 908.7772004182. Note that the first 3 decimals coincide. The cubic root of 825876 is about 93.8220566028.

The spelling of 825876 in words is "eight hundred twenty-five thousand, eight hundred seventy-six".