97322400 has 216 divisors, whose sum is σ = 392412384. Its totient is φ = 22233600.

The previous prime is 97322353. The next prime is 97322413. The reversal of 97322400 is 422379.

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 35 ways as a sum of consecutive naturals, for example, 49435 + ... + 51365.

It is an arithmetic number, because the mean of its divisors is an integer number (1816724).

Almost surely, 2^97322400 is an apocalyptic number.

97322400 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 97322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196206192).

97322400 is an abundant number, since it is smaller than the sum of its proper divisors (295089984).

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

97322400 is a wasteful number, since it uses less digits than its factorization.

97322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 97322400 is about 9865.2116044209. The cubic root of 97322400 is about 459.9785749315.

Adding to 97322400 its reverse (422379), we get a palindrome (97744779).

The spelling of 97322400 in words is "ninety-seven million, three hundred twenty-two thousand, four hundred".