97297200 has 720 divisors, whose sum is σ = 470136576. Its totient is φ = 18662400.

The previous prime is 97297163. The next prime is 97297201. The reversal of 97297200 is 279279.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97297201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7484394 + ... + 7484406.

Almost surely, 2^97297200 is an apocalyptic number.

97297200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97297200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235068288).

97297200 is an abundant number, since it is smaller than the sum of its proper divisors (372839376).

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

97297200 is a wasteful number, since it uses less digits than its factorization.

97297200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 97297200 is about 9863.9343063506. The cubic root of 97297200 is about 459.9388702637.

It can be divided in two parts, 972 and 97200, that multiplied together give a square (94478400 = 9720²).

The spelling of 97297200 in words is "ninety-seven million, two hundred ninety-seven thousand, two hundred".