97201152 has 132 divisors (see below), whose sum is σ = 287398800. Its totient is φ = 31629312.

The previous prime is 97201147. The next prime is 97201177. The reversal of 97201152 is 25110279.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488349 + ... + 488547.

Almost surely, 2^97201152 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 97201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143699400).

97201152 is an abundant number, since it is smaller than the sum of its proper divisors (190197648).

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

97201152 is a wasteful number, since it uses less digits than its factorization.

97201152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 97201152 is about 9859.0644586594. The cubic root of 97201152 is about 459.7874758661.

The spelling of 97201152 in words is "ninety-seven million, two hundred one thousand, one hundred fifty-two".