85205 has 4 divisors (see below), whose sum is σ = 102252. Its totient is φ = 68160.

The previous prime is 85201. The next prime is 85213. The reversal of 85205 is 50258.

85205 = T₉₉ + T₁₀₀ + ... + T₁₁₃.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 56644 + 28561 = 238^2 + 169^2 .

It is not a de Polignac number, because 85205 - 2² = 85201 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85205.

It is not an unprimeable number, because it can be changed into a prime (85201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8516 + ... + 8525.

It is an arithmetic number, because the mean of its divisors is an integer number (25563).

2⁸⁵²⁰⁵ is an apocalyptic number.

It is an amenable number.

85205 is a deficient number, since it is larger than the sum of its proper divisors (17047).

85205 is a wasteful number, since it uses less digits than its factorization.

85205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17046.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 85205 is about 291.8989551197. The cubic root of 85205 is about 44.0036154054.

The spelling of 85205 in words is "eighty-five thousand, two hundred five".