820082 has 16 divisors (see below), whose sum is σ = 1286712. Its totient is φ = 391680.

The previous prime is 820073. The next prime is 820093. The reversal of 820082 is 280028.

It can be written as a sum of positive squares in 4 ways, for example, as 561001 + 259081 = 749^2 + 509^2 .

It is an unprimeable number.

820082 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 7 ways as a sum of consecutive naturals, for example, 5918 + ... + 6054.

2⁸²⁰⁰⁸² is an apocalyptic number.

820082 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

820082 is a deficient number, since it is larger than the sum of its proper divisors (466630).

820082 is a wasteful number, since it uses less digits than its factorization.

820082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 820082 is about 905.5837896076. The cubic root of 820082 is about 93.6021360946.

It can be divided in two parts, 8200 and 82, that multiplied together give a square (672400 = 820²).

The spelling of 820082 in words is "eight hundred twenty thousand, eighty-two".