98538 has 16 divisors (see below), whose sum is σ = 215136. Its totient is φ = 29840.

The previous prime is 98533. The next prime is 98543. The reversal of 98538 is 83589.

It is an interprime number because it is at equal distance from previous prime (98533) and next prime (98543).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 98499 and 98508.

It is not an unprimeable number, because it can be changed into a prime (98533) 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, 681 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (13446).

2⁹⁸⁵³⁸ is an apocalyptic number.

98538 is an abundant number, since it is smaller than the sum of its proper divisors (116598).

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 (107568).

98538 is a wasteful number, since it uses less digits than its factorization.

98538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509.

The product of its digits is 8640, while the sum is 33.

The square root of 98538 is about 313.9076297257. The cubic root of 98538 is about 46.1885768501.

Subtracting from 98538 its product of digits (8640), we obtain a palindrome (89898).

It can be divided in two parts, 98 and 538, that added together give a palindrome (636).

The spelling of 98538 in words is "ninety-eight thousand, five hundred thirty-eight".