97065800 has 96 divisors (see below), whose sum is σ = 249853800. Its totient is φ = 34836480.

The previous prime is 97065779. The next prime is 97065809. The reversal of 97065800 is 856079.

It can be written as a sum of positive squares in 12 ways, for example, as 3247204 + 93818596 = 1802^2 + 9686^2 .

It is not an unprimeable number, because it can be changed into a prime (97065809) 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, 95696 + ... + 96704.

Almost surely, 2^97065800 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 97065800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124926900).

97065800 is an abundant number, since it is smaller than the sum of its proper divisors (152788000).

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

97065800 is a wasteful number, since it uses less digits than its factorization.

97065800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 97065800 is about 9852.1977243659. The cubic root of 97065800 is about 459.5739596613.

The spelling of 97065800 in words is "ninety-seven million, sixty-five thousand, eight hundred".