83124 has 18 divisors (see below), whose sum is σ = 210210. Its totient is φ = 27696.

The previous prime is 83117. The next prime is 83137. The reversal of 83124 is 42138.

It is a happy number.

83124 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 3600 = 282^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 83097 and 83106.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1119 + ... + 1190.

2⁸³¹²⁴ is an apocalyptic number.

It is an amenable number.

83124 is an abundant number, since it is smaller than the sum of its proper divisors (127086).

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

83124 is a wasteful number, since it uses less digits than its factorization.

83124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2314 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 83124 is about 288.3123306416. The cubic root of 83124 is about 43.6424186673.

The spelling of 83124 in words is "eighty-three thousand, one hundred twenty-four".