92124 has 24 divisors (see below), whose sum is σ = 239120. Its totient is φ = 30672.

The previous prime is 92119. The next prime is 92143. The reversal of 92124 is 42129.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 92097 and 92106.

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 92124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319 + ... + 534.

2⁹²¹²⁴ is an apocalyptic number.

It is an amenable number.

92124 is an abundant number, since it is smaller than the sum of its proper divisors (146996).

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 (119560).

92124 is a wasteful number, since it uses less digits than its factorization.

92124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 92124 is about 303.5193568786. The cubic root of 92124 is about 45.1638471451.

It can be divided in two parts, 9212 and 4, that added together give a square (9216 = 96²).

The spelling of 92124 in words is "ninety-two thousand, one hundred twenty-four".