2185 has 8 divisors (see below), whose sum is σ = 2880. Its totient is φ = 1584.

The previous prime is 2179. The next prime is 2203. The reversal of 2185 is 5812.

2185 = 10² + 11² + ... + 19².

It is a happy number.

2185 is nontrivially palindromic in base 6.

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 2185 - 2⁵ = 2153 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 15 and base 16.

It is a nialpdrome in base 3, base 5, base 8, base 13 and base 14.

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, 84 + ... + 106.

It is an arithmetic number, because the mean of its divisors is an integer number (360).

2²¹⁸⁵ is an apocalyptic number.

It is an amenable number.

2185 is a deficient number, since it is larger than the sum of its proper divisors (695).

2185 is a wasteful number, since it uses less digits than its factorization.

2185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47.

The product of its digits is 80, while the sum is 16.

The square root of 2185 is about 46.7439835701. The cubic root of 2185 is about 12.9762881371.

Adding to 2185 its reverse (5812), we get a palindrome (7997).

The spelling of 2185 in words is "two thousand, one hundred eighty-five".