97036800 has 360 divisors, whose sum is σ = 386644896. Its totient is φ = 21012480.

The previous prime is 97036777. The next prime is 97036817. The reversal of 97036800 is 863079.

It is a happy number.

It is a super-2 number, since 2×97036800² = 18832281108480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5107191 + ... + 5107209.

Almost surely, 2^97036800 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 97036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193322448).

97036800 is an abundant number, since it is smaller than the sum of its proper divisors (289608096).

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

97036800 is a wasteful number, since it uses less digits than its factorization.

97036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 97036800 is about 9850.7258615799. The cubic root of 97036800 is about 459.5281866828.

Adding to 97036800 its reverse (863079), we get a palindrome (97899879).

The spelling of 97036800 in words is "ninety-seven million, thirty-six thousand, eight hundred".