97305600 has 264 divisors, whose sum is σ = 369573568. Its totient is φ = 22118400.

The previous prime is 97305581. The next prime is 97305601. The reversal of 97305600 is 650379.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (97305601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537510 + ... + 537690.

Almost surely, 2^97305600 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 97305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184786784).

97305600 is an abundant number, since it is smaller than the sum of its proper divisors (272267968).

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

97305600 is a wasteful number, since it uses less digits than its factorization.

97305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 97305600 is about 9864.3600907509. The cubic root of 97305600 is about 459.9521059146.

Adding to 97305600 its reverse (650379), we get a palindrome (97955979).

The spelling of 97305600 in words is "ninety-seven million, three hundred five thousand, six hundred".