97988 has 24 divisors (see below), whose sum is σ = 199584. Its totient is φ = 41600.

The previous prime is 97987. The next prime is 98009. The reversal of 97988 is 88979.

It is not an unprimeable number, because it can be changed into a prime (97987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 683 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2⁹⁷⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

97988 is an abundant number, since it is smaller than the sum of its proper divisors (101596).

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 (99792).

97988 is a wasteful number, since it uses less digits than its factorization.

97988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its digits is 36288, while the sum is 41.

The square root of 97988 is about 313.0303499663. The cubic root of 97988 is about 46.1024810330.

Subtracting from 97988 its reverse (88979), we obtain a palindrome (9009).

It can be divided in two parts, 9 and 7988, that added together give a palindrome (7997).

The spelling of 97988 in words is "ninety-seven thousand, nine hundred eighty-eight".