97113600 has 240 divisors, whose sum is σ = 357722640. Its totient is φ = 25804800.

The previous prime is 97113593. The next prime is 97113623. The reversal of 97113600 is 631179.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 345460 + ... + 345740.

It is an arithmetic number, because the mean of its divisors is an integer number (1490511).

Almost surely, 2^97113600 is an apocalyptic number.

97113600 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 97113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178861320).

97113600 is an abundant number, since it is smaller than the sum of its proper divisors (260609040).

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

97113600 is a wasteful number, since it uses less digits than its factorization.

97113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 97113600 is about 9854.6232804709. The cubic root of 97113600 is about 459.6493862629.

Adding to 97113600 its reverse (631179), we get a palindrome (97744779).

The spelling of 97113600 in words is "ninety-seven million, one hundred thirteen thousand, six hundred".