97088 has 28 divisors (see below), whose sum is σ = 202692. Its totient is φ = 46080.

The previous prime is 97081. The next prime is 97103. The reversal of 97088 is 88079.

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 53824 = 208^2 + 232^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97081) by changing a digit.

97088 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 3 ways as a sum of consecutive naturals, for example, 2348 + ... + 2388.

It is an arithmetic number, because the mean of its divisors is an integer number (7239).

2⁹⁷⁰⁸⁸ 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 97088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101346).

97088 is an abundant number, since it is smaller than the sum of its proper divisors (105604).

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

97088 is a wasteful number, since it uses less digits than its factorization.

97088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 97088 is about 311.5894735064. The cubic root of 97088 is about 45.9608993505.

Subtracting from 97088 its reverse (88079), we obtain a palindrome (9009).

The spelling of 97088 in words is "ninety-seven thousand, eighty-eight".