825820 has 24 divisors (see below), whose sum is σ = 1751904. Its totient is φ = 326976.

The previous prime is 825791. The next prime is 825821. The reversal of 825820 is 28528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3009 + ... + 3271.

It is an arithmetic number, because the mean of its divisors is an integer number (72996).

2⁸²⁵⁸²⁰ is an apocalyptic number.

It is an amenable number.

825820 is an abundant number, since it is smaller than the sum of its proper divisors (926084).

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

825820 is a wasteful number, since it uses less digits than its factorization.

825820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 825820 is about 908.7463892638. The cubic root of 825820 is about 93.8199359641.

The spelling of 825820 in words is "eight hundred twenty-five thousand, eight hundred twenty".