218085 has 32 divisors (see below), whose sum is σ = 417792. Its totient is φ = 95040.

The previous prime is 218083. The next prime is 218087. The reversal of 218085 is 580812.

It is an interprime number because it is at equal distance from previous prime (218083) and next prime (218087).

It is not a de Polignac number, because 218085 - 2¹ = 218083 is a prime.

It is a super-2 number, since 2×218085² = 95122134450, which contains 22 as substring.

It is a Curzon number.

218085 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218085.

It is not an unprimeable number, because it can be changed into a prime (218081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3222 + ... + 3288.

It is an arithmetic number, because the mean of its divisors is an integer number (13056).

2²¹⁸⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

218085 is a deficient number, since it is larger than the sum of its proper divisors (199707).

218085 is a wasteful number, since it uses less digits than its factorization.

218085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113.

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 218085 is about 466.9957173251. The cubic root of 218085 is about 60.1924376913.

Adding to 218085 its reverse (580812), we get a palindrome (798897).

The spelling of 218085 in words is "two hundred eighteen thousand, eighty-five".