97713664 has 40 divisors (see below), whose sum is σ = 196784280. Its totient is φ = 48470016.

The previous prime is 97713661. The next prime is 97713677. The reversal of 97713664 is 46631779.

It is a self number, because there is not a number n which added to its sum of digits gives 97713664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97713661) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 70482 + ... + 71854.

It is an arithmetic number, because the mean of its divisors is an integer number (4919607).

Almost surely, 2^97713664 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 97713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98392140).

97713664 is an abundant number, since it is smaller than the sum of its proper divisors (99070616).

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

97713664 is a wasteful number, since it uses less digits than its factorization.

97713664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1514 counting only the distinct ones).

The product of its digits is 190512, while the sum is 43.

The square root of 97713664 is about 9885.0222053367. The cubic root of 97713664 is about 460.5941660433.

It can be divided in two parts, 977 and 13664, that added together give a palindrome (14641).

The spelling of 97713664 in words is "ninety-seven million, seven hundred thirteen thousand, six hundred sixty-four".