97201500 has 192 divisors, whose sum is σ = 318269952. Its totient is φ = 22848000.

The previous prime is 97201477. The next prime is 97201501. The reversal of 97201500 is 510279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97201501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 709432 + ... + 709568.

It is an arithmetic number, because the mean of its divisors is an integer number (1657656).

Almost surely, 2^97201500 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 97201500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159134976).

97201500 is an abundant number, since it is smaller than the sum of its proper divisors (221068452).

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

97201500 is a wasteful number, since it uses less digits than its factorization.

97201500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 97201500 is about 9859.0821073769. The cubic root of 97201500 is about 459.7880245765.

Adding to 97201500 its reverse (510279), we get a palindrome (97711779).

The spelling of 97201500 in words is "ninety-seven million, two hundred one thousand, five hundred".