97608 has 48 divisors (see below), whose sum is σ = 287280. Its totient is φ = 27552.

The previous prime is 97607. The next prime is 97609. The reversal of 97608 is 80679.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97607) and next prime (97609).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (97607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1135 + ... + 1217.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁹⁷⁶⁰⁸ is an apocalyptic number.

97608 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640).

97608 is an abundant number, since it is smaller than the sum of its proper divisors (189672).

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

97608 is a wasteful number, since it uses less digits than its factorization.

97608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 97608 is about 312.4227904619. The cubic root of 97608 is about 46.0428082908.

The spelling of 97608 in words is "ninety-seven thousand, six hundred eight".