97685257 has 2 divisors, whose sum is σ = 97685258. Its totient is φ = 97685256.

The previous prime is 97685249. The next prime is 97685267. The reversal of 97685257 is 75258679.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73685056 + 24000201 = 8584^2 + 4899^2 .

It is an emirp because it is prime and its reverse (75258679) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97685257 - 2³ = 97685249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 97685257.

It is not a weakly prime, because it can be changed into another prime (97685227) 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 as a sum of consecutive naturals, namely, 48842628 + 48842629.

It is an arithmetic number, because the mean of its divisors is an integer number (48842629).

Almost surely, 2^97685257 is an apocalyptic number.

It is an amenable number.

97685257 is a deficient number, since it is larger than the sum of its proper divisors (1).

97685257 is an equidigital number, since it uses as much as digits as its factorization.

97685257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1058400, while the sum is 49.

The square root of 97685257 is about 9883.5852300671. The cubic root of 97685257 is about 460.5495275691.

The spelling of 97685257 in words is "ninety-seven million, six hundred eighty-five thousand, two hundred fifty-seven".