97500 has 60 divisors (see below), whose sum is σ = 306152. Its totient is φ = 24000.

The previous prime is 97499. The next prime is 97501. The reversal of 97500 is 579.

It is an interprime number because it is at equal distance from previous prime (97499) and next prime (97501).

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 5 and base 10.

It is a zygodrome in base 5.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 65 × 25 × 60.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97501) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7494 + ... + 7506.

2⁹⁷⁵⁰⁰ 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 97500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153076).

97500 is an abundant number, since it is smaller than the sum of its proper divisors (208652).

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

97500 is a wasteful number, since it uses less digits than its factorization.

97500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 97500 is about 312.2498999199. The cubic root of 97500 is about 46.0258204126.

Subtracting from 97500 its sum of digits (21), we obtain a palindrome (97479).

The spelling of 97500 in words is "ninety-seven thousand, five hundred".