825816 has 32 divisors (see below), whose sum is σ = 2174400. Its totient is φ = 260640.

The previous prime is 825791. The next prime is 825821. The reversal of 825816 is 618528.

825816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

825816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450 + ... + 1361.

It is an arithmetic number, because the mean of its divisors is an integer number (67950).

2⁸²⁵⁸¹⁶ is an apocalyptic number.

It is an amenable number.

825816 is an abundant number, since it is smaller than the sum of its proper divisors (1348584).

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

825816 is a wasteful number, since it uses less digits than its factorization.

825816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1835 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 825816 is about 908.7441884271. The cubic root of 825816 is about 93.8197844862.

The spelling of 825816 in words is "eight hundred twenty-five thousand, eight hundred sixteen".