89124 has 24 divisors (see below), whose sum is σ = 237888. Its totient is φ = 25440.

The previous prime is 89123. The next prime is 89137. The reversal of 89124 is 42198.

It is a junction number, because it is equal to n+sod(n) for n = 89094 and 89103.

It is not an unprimeable number, because it can be changed into a prime (89123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 447 + ... + 614.

It is an arithmetic number, because the mean of its divisors is an integer number (9912).

2⁸⁹¹²⁴ is an apocalyptic number.

89124 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

89124 is an abundant number, since it is smaller than the sum of its proper divisors (148764).

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 (118944).

89124 is a wasteful number, since it uses less digits than its factorization.

89124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1073 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 89124 is about 298.5364299378. The cubic root of 89124 is about 44.6681764792.

The spelling of 89124 in words is "eighty-nine thousand, one hundred twenty-four".