97817280 has 224 divisors, whose sum is σ = 346740480. Its totient is φ = 23162880.

The previous prime is 97817273. The next prime is 97817281. The reversal of 97817280 is 8271879.

It is not an unprimeable number, because it can be changed into a prime (97817281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 622962 + ... + 623118.

Almost surely, 2^97817280 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 97817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173370240).

97817280 is an abundant number, since it is smaller than the sum of its proper divisors (248923200).

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

97817280 is a wasteful number, since it uses less digits than its factorization.

97817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 97817280 is about 9890.2618772204. The cubic root of 97817280 is about 460.7569138920.

The spelling of 97817280 in words is "ninety-seven million, eight hundred seventeen thousand, two hundred eighty".