86124 has 12 divisors (see below), whose sum is σ = 200984. Its totient is φ = 28704.

The previous prime is 86117. The next prime is 86131. The reversal of 86124 is 42168.

It is an interprime number because it is at equal distance from previous prime (86117) and next prime (86131).

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 86124.

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, 3577 + ... + 3600.

2⁸⁶¹²⁴ is an apocalyptic number.

It is an amenable number.

86124 is an abundant number, since it is smaller than the sum of its proper divisors (114860).

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 (100492).

86124 is a wasteful number, since it uses less digits than its factorization.

86124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7184 (or 7182 counting only the distinct ones).

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

The square root of 86124 is about 293.4689080635. The cubic root of 86124 is about 44.1612540339.

Subtracting from 86124 its reverse (42168), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 86 and 124, that added together give a triangular number (210 = T₂₀).

The spelling of 86124 in words is "eighty-six thousand, one hundred twenty-four".