97982768 has 40 divisors (see below), whose sum is σ = 205976400. Its totient is φ = 44884224.

The previous prime is 97982711. The next prime is 97982777. The reversal of 97982768 is 86728979.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27218 + ... + 30606.

It is an arithmetic number, because the mean of its divisors is an integer number (5149410).

Almost surely, 2^97982768 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 97982768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102988200).

97982768 is an abundant number, since it is smaller than the sum of its proper divisors (107993632).

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

97982768 is a wasteful number, since it uses less digits than its factorization.

97982768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3543 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 56.

The square root of 97982768 is about 9898.6245509162. The cubic root of 97982768 is about 461.0166048197.

The spelling of 97982768 in words is "ninety-seven million, nine hundred eighty-two thousand, seven hundred sixty-eight".