98500 has 24 divisors (see below), whose sum is σ = 216216. Its totient is φ = 39200.

The previous prime is 98491. The next prime is 98507. The reversal of 98500 is 589.

It can be written as a sum of positive squares in 4 ways, for example, as 1156 + 97344 = 34^2 + 312^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402 + ... + 598.

It is an arithmetic number, because the mean of its divisors is an integer number (9009).

2⁹⁸⁵⁰⁰ 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 98500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108108).

98500 is an abundant number, since it is smaller than the sum of its proper divisors (117716).

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

98500 is a wasteful number, since it uses less digits than its factorization.

98500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 98500 is about 313.8470965295. The cubic root of 98500 is about 46.1826387295.

The spelling of 98500 in words is "ninety-eight thousand, five hundred".