98124 has 48 divisors (see below), whose sum is σ = 268128. Its totient is φ = 27648.

The previous prime is 98123. The next prime is 98129. The reversal of 98124 is 42189.

Its product of digits (576) is a multiple of the sum of its prime divisors (72).

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 98094 and 98103.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98124.

It is not an unprimeable number, because it can be changed into a prime (98123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2634 + ... + 2670.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2⁹⁸¹²⁴ 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 98124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064).

98124 is an abundant number, since it is smaller than the sum of its proper divisors (170004).

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

98124 is a wasteful number, since it uses less digits than its factorization.

98124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 72 counting only the distinct ones).

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

The square root of 98124 is about 313.2475059757. The cubic root of 98124 is about 46.1238001025.

It can be divided in two parts, 98 and 124, that added together give a palindrome (222).

The spelling of 98124 in words is "ninety-eight thousand, one hundred twenty-four".