832820 has 12 divisors (see below), whose sum is σ = 1748964. Its totient is φ = 333120.

The previous prime is 832801. The next prime is 832837. The reversal of 832820 is 28238.

832820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 649636 + 183184 = 806^2 + 428^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

832820 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 3 ways as a sum of consecutive naturals, for example, 20801 + ... + 20840.

It is an arithmetic number, because the mean of its divisors is an integer number (145747).

2⁸³²⁸²⁰ is an apocalyptic number.

It is an amenable number.

832820 is an abundant number, since it is smaller than the sum of its proper divisors (916144).

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

832820 is a wasteful number, since it uses less digits than its factorization.

832820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41650 (or 41648 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 832820 is about 912.5897216165. The cubic root of 832820 is about 94.0842763127.

The spelling of 832820 in words is "eight hundred thirty-two thousand, eight hundred twenty".