97685627209 has 27 divisors (see below), whose sum is σ = 103898828397. Its totient is φ = 91836310104.

The previous prime is 97685627183. The next prime is 97685627243. The reversal of 97685627209 is 90272658679.

The square root of 97685627209 is 312547.

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

It is not a de Polignac number, because 97685627209 - 2⁹ = 97685626697 is a prime.

It is a super-2 number, since 2×97685627209² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97685627309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 769178104 + ... + 769178230.

Almost surely, 2^97685627209 is an apocalyptic number.

97685627209 is the 312547-th square number.

97685627209 is the 156274-th centered octagonal number.

It is an amenable number.

97685627209 is a deficient number, since it is larger than the sum of its proper divisors (6213201188).

97685627209 is an equidigital number, since it uses as much as digits as its factorization.

97685627209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 61.

The spelling of 97685627209 in words is "ninety-seven billion, six hundred eighty-five million, six hundred twenty-seven thousand, two hundred nine".