180085 has 4 divisors (see below), whose sum is σ = 216108. Its totient is φ = 144064.

The previous prime is 180077. The next prime is 180097. The reversal of 180085 is 580081.

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 78961 + 101124 = 281^2 + 318^2 .

It is a cyclic number.

It is not a de Polignac number, because 180085 - 2³ = 180077 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

180085 is a lucky number.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18004 + ... + 18013.

It is an arithmetic number, because the mean of its divisors is an integer number (54027).

2¹⁸⁰⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

180085 is a deficient number, since it is larger than the sum of its proper divisors (36023).

180085 is an equidigital number, since it uses as much as digits as its factorization.

180085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36022.

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 180085 is about 424.3642303494. The cubic root of 180085 is about 56.4710478968.

The spelling of 180085 in words is "one hundred eighty thousand, eighty-five".