65757257 has 2 divisors, whose sum is σ = 65757258. Its totient is φ = 65757256.

The previous prime is 65757203. The next prime is 65757269. The reversal of 65757257 is 75275756.

It is a happy number.

65757257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37994896 + 27762361 = 6164^2 + 5269^2 .

It is a cyclic number.

It is not a de Polignac number, because 65757257 - 2⁸ = 65757001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (65757287) 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, 32878628 + 32878629.

It is an arithmetic number, because the mean of its divisors is an integer number (32878629).

Almost surely, 2^65757257 is an apocalyptic number.

It is an amenable number.

65757257 is a deficient number, since it is larger than the sum of its proper divisors (1).

65757257 is an equidigital number, since it uses as much as digits as its factorization.

65757257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 514500, while the sum is 44.

The square root of 65757257 is about 8109.0848435566. The cubic root of 65757257 is about 403.6279475926.

The spelling of 65757257 in words is "sixty-five million, seven hundred fifty-seven thousand, two hundred fifty-seven".