827828 has 12 divisors (see below), whose sum is σ = 1455300. Its totient is φ = 412032.

The previous prime is 827821. The next prime is 827833. The reversal of 827828 is 828728.

It can be written as a sum of positive squares in 2 ways, for example, as 559504 + 268324 = 748^2 + 518^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1100 + ... + 1692.

It is an arithmetic number, because the mean of its divisors is an integer number (121275).

2⁸²⁷⁸²⁸ is an apocalyptic number.

It is an amenable number.

827828 is a deficient number, since it is larger than the sum of its proper divisors (627472).

827828 is a wasteful number, since it uses less digits than its factorization.

827828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 944 counting only the distinct ones).

The product of its digits is 14336, while the sum is 35.

The square root of 827828 is about 909.8505371763. The cubic root of 827828 is about 93.8959161799.

Subtracting 827828 from its reverse (828728), we obtain a square (900 = 30²).

The spelling of 827828 in words is "eight hundred twenty-seven thousand, eight hundred twenty-eight".