97201664 has 80 divisors (see below), whose sum is σ = 228268128. Its totient is φ = 40476672.

The previous prime is 97201651. The next prime is 97201669. The reversal of 97201664 is 46610279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97201669) 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, 132242 + ... + 132974.

Almost surely, 2^97201664 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 97201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114134064).

97201664 is an abundant number, since it is smaller than the sum of its proper divisors (131066464).

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

97201664 is an equidigital number, since it uses as much as digits as its factorization.

97201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 97201664 is about 9859.0904245777. The cubic root of 97201664 is about 459.7882831637.

The spelling of 97201664 in words is "ninety-seven million, two hundred one thousand, six hundred sixty-four".