97958984257 has 2 divisors, whose sum is σ = 97958984258. Its totient is φ = 97958984256.

The previous prime is 97958984251. The next prime is 97958984273. The reversal of 97958984257 is 75248985979.

It is a Cunningham number, because it is equal to 312984²+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97958984256 + 1 = 312984^2 + 1^2 .

It is an emirp because it is prime and its reverse (75248985979) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-97958984257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 97958984257.

It is not a weakly prime, because it can be changed into another prime (97958984251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48979492128 + 48979492129.

It is an arithmetic number, because the mean of its divisors is an integer number (48979492129).

Almost surely, 2^97958984257 is an apocalyptic number.

It is an amenable number.

97958984257 is a deficient number, since it is larger than the sum of its proper divisors (1).

97958984257 is an equidigital number, since it uses as much as digits as its factorization.

97958984257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 457228800, while the sum is 73.

The spelling of 97958984257 in words is "ninety-seven billion, nine hundred fifty-eight million, nine hundred eighty-four thousand, two hundred fifty-seven".