97200112 has 40 divisors (see below), whose sum is σ = 195791040. Its totient is φ = 46690560.

The previous prime is 97200109. The next prime is 97200119. The reversal of 97200112 is 21100279.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97200119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125358 + ... + 126130.

It is an arithmetic number, because the mean of its divisors is an integer number (4894776).

Almost surely, 2^97200112 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 97200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97895520).

97200112 is an abundant number, since it is smaller than the sum of its proper divisors (98590928).

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

97200112 is a wasteful number, since it uses less digits than its factorization.

97200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 97200112 is about 9859.0117151771. The cubic root of 97200112 is about 459.7858360341.

The spelling of 97200112 in words is "ninety-seven million, two hundred thousand, one hundred twelve".