86224 has 20 divisors (see below), whose sum is σ = 177444. Its totient is φ = 40448.

The previous prime is 86209. The next prime is 86239. The reversal of 86224 is 42268.

It is an interprime number because it is at equal distance from previous prime (86209) and next prime (86239).

It can be written as a sum of positive squares in 2 ways, for example, as 32400 + 53824 = 180^2 + 232^2 .

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 86195 and 86204.

It is a congruent number.

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, 114 + ... + 430.

2⁸⁶²²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88722).

86224 is an abundant number, since it is smaller than the sum of its proper divisors (91220).

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

86224 is a wasteful number, since it uses less digits than its factorization.

86224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 86224 is about 293.6392344357. The cubic root of 86224 is about 44.1783395435.

Subtracting from 86224 its reverse (42268), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 86224 in words is "eighty-six thousand, two hundred twenty-four".