97791296 has 56 divisors (see below), whose sum is σ = 202865736. Its totient is φ = 46725120.

The previous prime is 97791289. The next prime is 97791299. The reversal of 97791296 is 69219779.

It can be written as a sum of positive squares in 4 ways, for example, as 37945600 + 59845696 = 6160^2 + 7736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97791299) 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 7 ways as a sum of consecutive naturals, for example, 144110 + ... + 144786.

Almost surely, 2^97791296 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 97791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101432868).

97791296 is an abundant number, since it is smaller than the sum of its proper divisors (105074440).

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

97791296 is a wasteful number, since it uses less digits than its factorization.

97791296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 777 counting only the distinct ones).

The product of its digits is 428652, while the sum is 50.

The square root of 97791296 is about 9888.9481746038. The cubic root of 97791296 is about 460.7161120762.

The spelling of 97791296 in words is "ninety-seven million, seven hundred ninety-one thousand, two hundred ninety-six".