820832 has 24 divisors (see below), whose sum is σ = 1637496. Its totient is φ = 404992.

The previous prime is 820793. The next prime is 820837. The reversal of 820832 is 238028.

It is a nialpdrome in base 16.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 820798 and 820807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820837) by changing a digit.

820832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3503 + ... + 3729.

It is an arithmetic number, because the mean of its divisors is an integer number (68229).

2⁸²⁰⁸³² is an apocalyptic number.

It is an amenable number.

820832 is a deficient number, since it is larger than the sum of its proper divisors (816664).

820832 is a wasteful number, since it uses less digits than its factorization.

820832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

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

The square root of 820832 is about 905.9977924918. The cubic root of 820832 is about 93.6306617836.

The spelling of 820832 in words is "eight hundred twenty thousand, eight hundred thirty-two".