98180 has 12 divisors (see below), whose sum is σ = 206220. Its totient is φ = 39264.

The previous prime is 98179. The next prime is 98207. The reversal of 98180 is 8189.

It can be written as a sum of positive squares in 2 ways, for example, as 75076 + 23104 = 274^2 + 152^2 .

It is a plaindrome in base 14.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2435 + ... + 2474.

It is an arithmetic number, because the mean of its divisors is an integer number (17185).

2⁹⁸¹⁸⁰ is an apocalyptic number.

It is an amenable number.

98180 is an abundant number, since it is smaller than the sum of its proper divisors (108040).

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 (103110).

98180 is a wasteful number, since it uses less digits than its factorization.

98180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 98180 is about 313.3368794126. The cubic root of 98180 is about 46.1325728172.

The spelling of 98180 in words is "ninety-eight thousand, one hundred eighty".