827204 has 24 divisors (see below), whose sum is σ = 1709568. Its totient is φ = 342720.

The previous prime is 827161. The next prime is 827213. The reversal of 827204 is 402728.

827204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 827204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392 + ... + 1344.

It is an arithmetic number, because the mean of its divisors is an integer number (71232).

2⁸²⁷²⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854784).

827204 is an abundant number, since it is smaller than the sum of its proper divisors (882364).

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

827204 is a wasteful number, since it uses less digits than its factorization.

827204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 827204 is about 909.5075590670. The cubic root of 827204 is about 93.8723179689.

Adding to 827204 its product of nonzero digits (896), we get a square (828100 = 910²).

The spelling of 827204 in words is "eight hundred twenty-seven thousand, two hundred four".