97221200 has 60 divisors (see below), whose sum is σ = 239923260. Its totient is φ = 37831680.

The previous prime is 97221191. The next prime is 97221217. The reversal of 97221200 is 212279.

It can be written as a sum of positive squares in 6 ways, for example, as 9461776 + 87759424 = 3076^2 + 9368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11516 + ... + 18084.

It is an arithmetic number, because the mean of its divisors is an integer number (3998721).

Almost surely, 2^97221200 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 97221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119961630).

97221200 is an abundant number, since it is smaller than the sum of its proper divisors (142702060).

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

97221200 is a wasteful number, since it uses less digits than its factorization.

97221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6624 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 97221200 is about 9860.0811355688. The cubic root of 97221200 is about 459.8190844958.

Adding to 97221200 its reverse (212279), we get a palindrome (97433479).

The spelling of 97221200 in words is "ninety-seven million, two hundred twenty-one thousand, two hundred".