86216 has 16 divisors (see below), whose sum is σ = 174300. Its totient is φ = 39744.

The previous prime is 86209. The next prime is 86239. The reversal of 86216 is 61268.

It can be written as a sum of positive squares in 2 ways, for example, as 84100 + 2116 = 290^2 + 46^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86191 and 86200.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 311 + ... + 518.

2⁸⁶²¹⁶ is an apocalyptic number.

It is an amenable number.

86216 is an abundant number, since it is smaller than the sum of its proper divisors (88084).

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 (87150).

86216 is a wasteful number, since it uses less digits than its factorization.

86216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 844 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 86216 is about 293.6256119619. The cubic root of 86216 is about 44.1769731891.

It can be divided in two parts, 862 and 16, that added together give a palindrome (878).

The spelling of 86216 in words is "eighty-six thousand, two hundred sixteen".