97330800 has 120 divisors (see below), whose sum is σ = 356354176. Its totient is φ = 22245120.

The previous prime is 97330789. The next prime is 97330817. The reversal of 97330800 is 803379.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2607 + ... + 14193.

Almost surely, 2^97330800 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 97330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178177088).

97330800 is an abundant number, since it is smaller than the sum of its proper divisors (259023376).

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

97330800 is a wasteful number, since it uses less digits than its factorization.

97330800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11615 (or 11604 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 97330800 is about 9865.6373336952. The cubic root of 97330800 is about 459.9918082977.

The spelling of 97330800 in words is "ninety-seven million, three hundred thirty thousand, eight hundred".