85985 has 8 divisors (see below), whose sum is σ = 106920. Its totient is φ = 66304.

The previous prime is 85933. The next prime is 85991. The reversal of 85985 is 58958.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 73441 = 112^2 + 271^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 85985 - 2¹⁰ = 84961 is a prime.

It is a plaindrome in base 14.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (13365).

2⁸⁵⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

85985 is a deficient number, since it is larger than the sum of its proper divisors (20935).

85985 is a wasteful number, since it uses less digits than its factorization.

85985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627.

The product of its digits is 14400, while the sum is 35.

The square root of 85985 is about 293.2319900693. The cubic root of 85985 is about 44.1374831932.

The spelling of 85985 in words is "eighty-five thousand, nine hundred eighty-five".