97332300 has 288 divisors, whose sum is σ = 349977600. Its totient is φ = 23051520.

The previous prime is 97332289. The next prime is 97332371. The reversal of 97332300 is 323379.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 1649671 + ... + 1649729.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 2^97332300 is an apocalyptic number.

97332300 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 97332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

97332300 is an abundant number, since it is smaller than the sum of its proper divisors (252645300).

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

97332300 is a wasteful number, since it uses less digits than its factorization.

97332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 97332300 is about 9865.7133548467. The cubic root of 97332300 is about 459.9941713187.

Adding to 97332300 its reverse (323379), we get a palindrome (97655679).

The spelling of 97332300 in words is "ninety-seven million, three hundred thirty-two thousand, three hundred".