97381200 has 120 divisors (see below), whose sum is σ = 356538688. Its totient is φ = 22256640.

The previous prime is 97381171. The next prime is 97381243. The reversal of 97381200 is 218379.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×97381200² = 18966196226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2604 + ... + 14196.

Almost surely, 2^97381200 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 97381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178269344).

97381200 is an abundant number, since it is smaller than the sum of its proper divisors (259157488).

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

97381200 is a wasteful number, since it uses less digits than its factorization.

97381200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11621 (or 11610 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 97381200 is about 9868.1913236418. The cubic root of 97381200 is about 460.0711925099.

Adding to 97381200 its reverse (218379), we get a palindrome (97599579).

The spelling of 97381200 in words is "ninety-seven million, three hundred eighty-one thousand, two hundred".