97668 has 18 divisors (see below), whose sum is σ = 246974. Its totient is φ = 32544.

The previous prime is 97651. The next prime is 97673. The reversal of 97668 is 86679.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 324 = 312^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2713 = 97668 / (9 + 7 + 6 + 6 + 8).

It is an Ulam number.

It is a plaindrome in base 5 and base 13.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1321 + ... + 1392.

2⁹⁷⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

97668 is an abundant number, since it is smaller than the sum of its proper divisors (149306).

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

97668 is a wasteful number, since it uses less digits than its factorization.

97668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2718 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 97668 is about 312.5187994345. The cubic root of 97668 is about 46.0522405867.

Subtracting from 97668 its product of digits (18144), we obtain a square (79524 = 282²).

The spelling of 97668 in words is "ninety-seven thousand, six hundred sixty-eight".