97708900 has 72 divisors (see below), whose sum is σ = 224263424. Its totient is φ = 36892800.

The previous prime is 97708867. The next prime is 97708909. The reversal of 97708900 is 980779.

It is not an unprimeable number, because it can be changed into a prime (97708909) 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, 132934 + ... + 133666.

Almost surely, 2^97708900 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 97708900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112131712).

97708900 is an abundant number, since it is smaller than the sum of its proper divisors (126554524).

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

97708900 is a wasteful number, since it uses less digits than its factorization.

97708900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 40.

The square root of 97708900 is about 9884.7812317724. The cubic root of 97708900 is about 460.5866805455.

The spelling of 97708900 in words is "ninety-seven million, seven hundred eight thousand, nine hundred".