85218 has 16 divisors (see below), whose sum is σ = 194880. Its totient is φ = 24336.

The previous prime is 85213. The next prime is 85223. The reversal of 85218 is 81258.

It is an interprime number because it is at equal distance from previous prime (85213) and next prime (85223).

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

It is not an unprimeable number, because it can be changed into a prime (85213) by changing a digit.

85218 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 973 + ... + 1056.

It is an arithmetic number, because the mean of its divisors is an integer number (12180).

2⁸⁵²¹⁸ is an apocalyptic number.

85218 is an abundant number, since it is smaller than the sum of its proper divisors (109662).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97440).

85218 is a wasteful number, since it uses less digits than its factorization.

85218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041.

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

The square root of 85218 is about 291.9212222501. The cubic root of 85218 is about 44.0058532158.

Adding to 85218 its product of digits (640), we get a palindrome (85858).

It can be divided in two parts, 85 and 218, that added together give a palindrome (303).

The spelling of 85218 in words is "eighty-five thousand, two hundred eighteen".