97003200 has 168 divisors, whose sum is σ = 363841792. Its totient is φ = 22164480.

The previous prime is 97003199. The next prime is 97003219. The reversal of 97003200 is 230079.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 32157 + ... + 35043.

Almost surely, 2^97003200 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 97003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181920896).

97003200 is an abundant number, since it is smaller than the sum of its proper divisors (266838592).

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

97003200 is a wasteful number, since it uses less digits than its factorization.

97003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 97003200 is about 9849.0202558427. The cubic root of 97003200 is about 459.4751417572.

Adding to 97003200 its reverse (230079), we get a palindrome (97233279).

The spelling of 97003200 in words is "ninety-seven million, three thousand, two hundred".