86214 has 8 divisors (see below), whose sum is σ = 172440. Its totient is φ = 28736.

The previous prime is 86209. The next prime is 86239. The reversal of 86214 is 41268.

It is a sphenic number, since it is the product of 3 distinct primes.

86214 is an admirable 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 86214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7179 + ... + 7190.

It is an arithmetic number, because the mean of its divisors is an integer number (21555).

2⁸⁶²¹⁴ is an apocalyptic number.

86214 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (86220).

86214 is a wasteful number, since it uses less digits than its factorization.

86214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14374.

The product of its digits is 384, while the sum is 21.

The square root of 86214 is about 293.6222062447. The cubic root of 86214 is about 44.1766315872.

It can be divided in two parts, 86 and 214, that added together give a triangular number (300 = T₂₄).

The spelling of 86214 in words is "eighty-six thousand, two hundred fourteen".