85085 has 32 divisors (see below), whose sum is σ = 145152. Its totient is φ = 46080.

The previous prime is 85081. The next prime is 85087. The reversal of 85085 is 58058.

It is not a de Polignac number, because 85085 - 2² = 85081 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4997 + ... + 5013.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2⁸⁵⁰⁸⁵ is an apocalyptic number.

85085 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85085 is a deficient number, since it is larger than the sum of its proper divisors (60067).

85085 is a wasteful number, since it uses less digits than its factorization.

85085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 85085 is about 291.6933321144. The cubic root of 85085 is about 43.9829479378.

The spelling of 85085 in words is "eighty-five thousand, eighty-five".