97324800 has 216 divisors, whose sum is σ = 332280816. Its totient is φ = 25067520.

The previous prime is 97324789. The next prime is 97324811. The reversal of 97324800 is 842379.

It is an interprime number because it is at equal distance from previous prime (97324789) and next prime (97324811).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710332 + ... + 710468.

Almost surely, 2^97324800 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 97324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166140408).

97324800 is an abundant number, since it is smaller than the sum of its proper divisors (234956016).

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

97324800 is a wasteful number, since it uses less digits than its factorization.

97324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 97324800 is about 9865.3332432311. Note that the first 3 decimals coincide. The cubic root of 97324800 is about 459.9823559710.

The spelling of 97324800 in words is "ninety-seven million, three hundred twenty-four thousand, eight hundred".