97305120 has 144 divisors (see below), whose sum is σ = 362299392. Its totient is φ = 23585280.

The previous prime is 97305119. The next prime is 97305151. The reversal of 97305120 is 2150379.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12769 + ... + 18911.

It is an arithmetic number, because the mean of its divisors is an integer number (2515968).

Almost surely, 2^97305120 is an apocalyptic number.

97305120 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 97305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181149696).

97305120 is an abundant number, since it is smaller than the sum of its proper divisors (264994272).

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

97305120 is a wasteful number, since it uses less digits than its factorization.

97305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6175 (or 6164 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 97305120 is about 9864.3357607089. The cubic root of 97305120 is about 459.9513496122.

Adding to 97305120 its reverse (2150379), we get a palindrome (99455499).

The spelling of 97305120 in words is "ninety-seven million, three hundred five thousand, one hundred twenty".