97344 has 63 divisors (see below), whose sum is σ = 302133. Its totient is φ = 29952.

The previous prime is 97327. The next prime is 97367. The reversal of 97344 is 44379.

97344 = T₃₁₁ + T₃₁₂.

97344 = 14³ + 15³ + ... + 25³.

The square root of 97344 is 312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 82944 = 120^2 + 288^2 .

Its product of digits (3024) is a multiple of the sum of its prime divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97344.

It is an unprimeable number.

97344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7482 + ... + 7494.

2⁹⁷³⁴⁴ is an apocalyptic number.

97344 is the 312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97344

97344 is an abundant number, since it is smaller than the sum of its proper divisors (204789).

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

97344 is a wasteful number, since it uses less digits than its factorization.

97344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 18 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The cubic root of 97344 is about 46.0012602049.

It can be divided in two parts, 97 and 344, that added together give a square (441 = 21²).

The spelling of 97344 in words is "ninety-seven thousand, three hundred forty-four".