83205 has 18 divisors (see below), whose sum is σ = 147654. Its totient is φ = 43344.

The previous prime is 83203. The next prime is 83207. The reversal of 83205 is 50238.

It is an interprime number because it is at equal distance from previous prime (83203) and next prime (83207).

It can be written as a sum of positive squares in only one way, i.e., 66564 + 16641 = 258^2 + 129^2 .

It is not a de Polignac number, because 83205 - 2¹ = 83203 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1914 + ... + 1956.

It is an arithmetic number, because the mean of its divisors is an integer number (8203).

2⁸³²⁰⁵ is an apocalyptic number.

It is an amenable number.

83205 is a deficient number, since it is larger than the sum of its proper divisors (64449).

83205 is a wasteful number, since it uses less digits than its factorization.

83205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 83205 is about 288.4527690975. The cubic root of 83205 is about 43.6565898185.

The spelling of 83205 in words is "eighty-three thousand, two hundred five".