97830400 has 60 divisors (see below), whose sum is σ = 242414172. Its totient is φ = 39127040.

The previous prime is 97830377. The next prime is 97830413. The reversal of 97830400 is 403879.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8979 + ... + 16621.

Almost surely, 2^97830400 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 97830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121207086).

97830400 is an abundant number, since it is smaller than the sum of its proper divisors (144583772).

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

97830400 is an equidigital number, since it uses as much as digits as its factorization.

97830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7671 (or 7650 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 97830400 is about 9890.9251336768. The cubic root of 97830400 is about 460.7775130487. Note that the first 3 decimals are identical.

The spelling of 97830400 in words is "ninety-seven million, eight hundred thirty thousand, four hundred".