82205 has 8 divisors (see below), whose sum is σ = 101304. Its totient is φ = 64000.

The previous prime is 82193. The next prime is 82207. The reversal of 82205 is 50228.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11449 + 70756 = 107^2 + 266^2 .

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

It is not a de Polignac number, because 82205 - 2⁴ = 82189 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a congruent 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (12663).

2⁸²²⁰⁵ is an apocalyptic number.

It is an amenable number.

82205 is a deficient number, since it is larger than the sum of its proper divisors (19099).

82205 is a wasteful number, since it uses less digits than its factorization.

82205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 82205 is about 286.7141433554. The cubic root of 82205 is about 43.4809887419.

The spelling of 82205 in words is "eighty-two thousand, two hundred five".