97921168 has 40 divisors (see below), whose sum is σ = 197308800. Its totient is φ = 47021184.

The previous prime is 97921151. The next prime is 97921171. The reversal of 97921168 is 86112979.

It is an unprimeable number.

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, 110455 + ... + 111337.

It is an arithmetic number, because the mean of its divisors is an integer number (4932720).

Almost surely, 2^97921168 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 97921168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98654400).

97921168 is an abundant number, since it is smaller than the sum of its proper divisors (99387632).

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

97921168 is a wasteful number, since it uses less digits than its factorization.

97921168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its digits is 54432, while the sum is 43.

The square root of 97921168 is about 9895.5125183085. The cubic root of 97921168 is about 460.9199736237.

It can be divided in two parts, 97921 and 168, that added together give a palindrome (98089).

The spelling of 97921168 in words is "ninety-seven million, nine hundred twenty-one thousand, one hundred sixty-eight".