97344000 has 360 divisors, whose sum is σ = 379659852. Its totient is φ = 23961600.

The previous prime is 97343969. The next prime is 97344001. The reversal of 97344000 is 44379.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 4260096 + 93083904 = 2064^2 + 9648^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (97344001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7487994 + ... + 7488006.

Almost surely, 2^97344000 is an apocalyptic number.

97344000 is a gapful number since it is divisible by the number (90) 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 97344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189829926).

97344000 is an abundant number, since it is smaller than the sum of its proper divisors (282315852).

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

97344000 is a wasteful number, since it uses less digits than its factorization.

97344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

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

The square root of 97344000 is about 9866.3062997253. The cubic root of 97344000 is about 460.0126020492.

Adding to 97344000 its reverse (44379), we get a palindrome (97388379).

The spelling of 97344000 in words is "ninety-seven million, three hundred forty-four thousand".