97188 has 48 divisors (see below), whose sum is σ = 282240. Its totient is φ = 25344.

The previous prime is 97187. The next prime is 97213. The reversal of 97188 is 88179.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2⁹⁷¹⁸⁸ 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 97188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

97188 is an abundant number, since it is smaller than the sum of its proper divisors (185052).

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

97188 is a wasteful number, since it uses less digits than its factorization.

97188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 97188 is about 311.7498997594. The cubic root of 97188 is about 45.9766737437.

Subtracting from 97188 its reverse (88179), we obtain a palindrome (9009).

The spelling of 97188 in words is "ninety-seven thousand, one hundred eighty-eight".