82209 has 8 divisors (see below), whose sum is σ = 111520. Its totient is φ = 53856.

The previous prime is 82207. The next prime is 82217. The reversal of 82209 is 90228.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82209 - 2¹ = 82207 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (13940).

2⁸²²⁰⁹ is an apocalyptic number.

It is an amenable number.

82209 is a deficient number, since it is larger than the sum of its proper divisors (29311).

82209 is a wasteful number, since it uses less digits than its factorization.

82209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 82209 is about 286.7211188594. The cubic root of 82209 is about 43.4816939753.

The spelling of 82209 in words is "eighty-two thousand, two hundred nine".