97888 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 38016.

The previous prime is 97883. The next prime is 97919. The reversal of 97888 is 88879.

It is a self number, because there is not a number n which added to its sum of digits gives 97888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97883) by changing a digit.

97888 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 7 ways as a sum of consecutive naturals, for example, 4245 + ... + 4267.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁹⁷⁸⁸⁸ 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 97888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

97888 is an abundant number, since it is smaller than the sum of its proper divisors (144032).

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

97888 is a wasteful number, since it uses less digits than its factorization.

97888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 51 counting only the distinct ones).

The product of its digits is 32256, while the sum is 40.

The square root of 97888 is about 312.8705802724. The cubic root of 97888 is about 46.0867926586.

Subtracting from 97888 its reverse (88879), we obtain a palindrome (9009).

The spelling of 97888 in words is "ninety-seven thousand, eight hundred eighty-eight".