97358400 has 126 divisors (see below), whose sum is σ = 346085922. Its totient is φ = 25958400.

The previous prime is 97358357. The next prime is 97358441. The reversal of 97358400 is 485379.

97358400 is a `hidden beast` number, since 9 + 73 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 15492096 + 81866304 = 3936^2 + 9048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 11020 + ... + 17780.

Almost surely, 2^97358400 is an apocalyptic number.

97358400 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 97358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173042961).

97358400 is an abundant number, since it is smaller than the sum of its proper divisors (248727522).

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

97358400 is a wasteful number, since it uses less digits than its factorization.

97358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6789 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 97358400 is about 9867.0360291224. The cubic root of 97358400 is about 460.0352839980.

The spelling of 97358400 in words is "ninety-seven million, three hundred fifty-eight thousand, four hundred".