97071257 has 2 divisors, whose sum is σ = 97071258. Its totient is φ = 97071256.

The previous prime is 97071229. The next prime is 97071259. The reversal of 97071257 is 75217079.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66113161 + 30958096 = 8131^2 + 5564^2 .

It is a cyclic number.

It is not a de Polignac number, because 97071257 - 2²⁶ = 29962393 is a prime.

Together with 97071259, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 97071257.

It is not a weakly prime, because it can be changed into another prime (97071259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48535628 + 48535629.

It is an arithmetic number, because the mean of its divisors is an integer number (48535629).

Almost surely, 2^97071257 is an apocalyptic number.

It is an amenable number.

97071257 is a deficient number, since it is larger than the sum of its proper divisors (1).

97071257 is an equidigital number, since it uses as much as digits as its factorization.

97071257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30870, while the sum is 38.

The square root of 97071257 is about 9852.4746637583. The cubic root of 97071257 is about 459.5825718540.

It can be divided in two parts, 970 and 71257, that added together give a palindrome (72227).

The spelling of 97071257 in words is "ninety-seven million, seventy-one thousand, two hundred fifty-seven".