98724 has 24 divisors (see below), whose sum is σ = 243040. Its totient is φ = 31104.

The previous prime is 98717. The next prime is 98729. The reversal of 98724 is 42789.

It is a junction number, because it is equal to n+sod(n) for n = 98691 and 98700.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98724.

It is not an unprimeable number, because it can be changed into a prime (98729) by changing a digit.

98724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 444.

2⁹⁸⁷²⁴ 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 98724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121520).

98724 is an abundant number, since it is smaller than the sum of its proper divisors (144316).

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

98724 is a wasteful number, since it uses less digits than its factorization.

98724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 98724 is about 314.2037555473. The cubic root of 98724 is about 46.2176203848.

The spelling of 98724 in words is "ninety-eight thousand, seven hundred twenty-four".