98000 has 60 divisors (see below), whose sum is σ = 275652. Its totient is φ = 33600.

The previous prime is 97987. The next prime is 98009. The reversal of 98000 is 89.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 94864 = 56^2 + 308^2 .

It is a nialpdrome in base 7 and base 10.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 98000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98009) by changing a digit.

98000 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 11 ways as a sum of consecutive naturals, for example, 13997 + ... + 14003.

2⁹⁸⁰⁰⁰ 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 98000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137826).

98000 is an abundant number, since it is smaller than the sum of its proper divisors (177652).

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

98000 is a wasteful number, since it uses less digits than its factorization.

98000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 98000 is about 313.0495168500. The cubic root of 98000 is about 46.1043629206.

Adding to 98000 its reverse (89), we get a palindrome (98089).

The spelling of 98000 in words is "ninety-eight thousand".