97735200 has 144 divisors (see below), whose sum is σ = 321291936. Its totient is φ = 25804800.

The previous prime is 97735153. The next prime is 97735201. The reversal of 97735200 is 253779.

It is not an unprimeable number, because it can be changed into a prime (97735201) 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 23 ways as a sum of consecutive naturals, for example, 463095 + ... + 463305.

It is an arithmetic number, because the mean of its divisors is an integer number (2231194).

Almost surely, 2^97735200 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 97735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160645968).

97735200 is an abundant number, since it is smaller than the sum of its proper divisors (223556736).

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

97735200 is a wasteful number, since it uses less digits than its factorization.

97735200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 97735200 is about 9886.1114701383. Note that the first 3 decimals coincide. The cubic root of 97735200 is about 460.6280017319.

Adding to 97735200 its reverse (253779), we get a palindrome (97988979).

The spelling of 97735200 in words is "ninety-seven million, seven hundred thirty-five thousand, two hundred".