97851664 has 15 divisors (see below), whose sum is σ = 189664293. Its totient is φ = 48906048.

The previous prime is 97851659. The next prime is 97851667. The reversal of 97851664 is 46615879.

The square root of 97851664 is 9892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72931600 + 24920064 = 8540^2 + 4992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97851667) 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 2 ways as a sum of consecutive naturals, for example, 38332 + ... + 40804.

Almost surely, 2^97851664 is an apocalyptic number.

97851664 is the 9892-nd square number.

It is an amenable number.

97851664 is a deficient number, since it is larger than the sum of its proper divisors (91812629).

97851664 is an frugal number, since it uses more digits than its factorization.

97851664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 2475 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The cubic root of 97851664 is about 460.8108948443.

It can be divided in two parts, 9785 and 1664, that added together give a square (11449 = 107²).

The spelling of 97851664 in words is "ninety-seven million, eight hundred fifty-one thousand, six hundred sixty-four".