97307257 has 2 divisors, whose sum is σ = 97307258. Its totient is φ = 97307256.

The previous prime is 97307239. The next prime is 97307297. The reversal of 97307257 is 75270379.

It is an a-pointer prime, because the next prime (97307297) can be obtained adding 97307257 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64256256 + 33051001 = 8016^2 + 5749^2 .

It is an emirp because it is prime and its reverse (75270379) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97307257 - 2⁷ = 97307129 is a prime.

It is not a weakly prime, because it can be changed into another prime (97307207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48653628 + 48653629.

It is an arithmetic number, because the mean of its divisors is an integer number (48653629).

Almost surely, 2^97307257 is an apocalyptic number.

It is an amenable number.

97307257 is a deficient number, since it is larger than the sum of its proper divisors (1).

97307257 is an equidigital number, since it uses as much as digits as its factorization.

97307257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92610, while the sum is 40.

The square root of 97307257 is about 9864.4440796225. Note that the first 3 decimals coincide. The cubic root of 97307257 is about 459.9547167144.

The spelling of 97307257 in words is "ninety-seven million, three hundred seven thousand, two hundred fifty-seven".