98118 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 30888.

The previous prime is 98101. The next prime is 98123. The reversal of 98118 is 81189.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 11.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 98091 and 98100.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98118.

It is an unprimeable number.

98118 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1203 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁹⁸¹¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

98118 is an abundant number, since it is smaller than the sum of its proper divisors (132282).

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

98118 is a wasteful number, since it uses less digits than its factorization.

98118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 98118 is about 313.2379287379. The cubic root of 98118 is about 46.1228599708.

It can be divided in two parts, 981 and 18, that added together give a palindrome (999).

The spelling of 98118 in words is "ninety-eight thousand, one hundred eighteen".