97087200 has 144 divisors (see below), whose sum is σ = 361226880. Its totient is φ = 22187520.

The previous prime is 97087189. The next prime is 97087217. The reversal of 97087200 is 278079.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13911 + ... + 19689.

It is an arithmetic number, because the mean of its divisors is an integer number (2508520).

Almost surely, 2^97087200 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 97087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180613440).

97087200 is an abundant number, since it is smaller than the sum of its proper divisors (264139680).

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

97087200 is a wasteful number, since it uses less digits than its factorization.

97087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 97087200 is about 9853.2837166094. The cubic root of 97087200 is about 459.6077311169.

The spelling of 97087200 in words is "ninety-seven million, eighty-seven thousand, two hundred".