97339200 has 168 divisors, whose sum is σ = 365101632. Its totient is φ = 22241280.

The previous prime is 97339183. The next prime is 97339219. The reversal of 97339200 is 293379.

It is a tau number, because it is divible by the number of its divisors (168).

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, 32152 + ... + 35048.

It is an arithmetic number, because the mean of its divisors is an integer number (2173224).

Almost surely, 2^97339200 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 97339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182550816).

97339200 is an abundant number, since it is smaller than the sum of its proper divisors (267762432).

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

97339200 is a wasteful number, since it uses less digits than its factorization.

97339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 33.

The square root of 97339200 is about 9866.0630445989. The cubic root of 97339200 is about 460.0050409025.

The spelling of 97339200 in words is "ninety-seven million, three hundred thirty-nine thousand, two hundred".