98175 has 48 divisors (see below), whose sum is σ = 214272. Its totient is φ = 38400.

The previous prime is 98143. The next prime is 98179. The reversal of 98175 is 57189.

98175 = 56² + 57² + ... + 77².

It is not a de Polignac number, because 98175 - 2⁵ = 98143 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98179) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5767 + ... + 5783.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2⁹⁸¹⁷⁵ is an apocalyptic number.

98175 is an abundant number, since it is smaller than the sum of its proper divisors (116097).

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 (107136).

98175 is a wasteful number, since it uses less digits than its factorization.

98175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 43 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 98175 is about 313.3289006779. The cubic root of 98175 is about 46.1317896748.

The spelling of 98175 in words is "ninety-eight thousand, one hundred seventy-five".