820002 has 16 divisors (see below), whose sum is σ = 1726560. Its totient is φ = 258912.

The previous prime is 819991. The next prime is 820037. The reversal of 820002 is 200028.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 820002.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 820002.

It is an unprimeable number.

820002 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 7 ways as a sum of consecutive naturals, for example, 3483 + ... + 3710.

It is an arithmetic number, because the mean of its divisors is an integer number (107910).

2⁸²⁰⁰⁰² is an apocalyptic number.

820002 is an abundant number, since it is smaller than the sum of its proper divisors (906558).

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

820002 is a wasteful number, since it uses less digits than its factorization.

820002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7217.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 820002 is about 905.5396181283. The cubic root of 820002 is about 93.5990923281.

The spelling of 820002 in words is "eight hundred twenty thousand, two".