85005 has 12 divisors (see below), whose sum is σ = 147420. Its totient is φ = 45312.

The previous prime is 84991. The next prime is 85009. The reversal of 85005 is 50058.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 49284 = 189^2 + 222^2 .

It is not a de Polignac number, because 85005 - 2¹² = 80909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85009) 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 11 ways as a sum of consecutive naturals, for example, 900 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2⁸⁵⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

85005 is a deficient number, since it is larger than the sum of its proper divisors (62415).

85005 is a wasteful number, since it uses less digits than its factorization.

85005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 85005 is about 291.5561695454. The cubic root of 85005 is about 43.9691588281.

The spelling of 85005 in words is "eighty-five thousand, five".