34385257 has 2 divisors, whose sum is σ = 34385258. Its totient is φ = 34385256.

The previous prime is 34385227. The next prime is 34385261. The reversal of 34385257 is 75258343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22695696 + 11689561 = 4764^2 + 3419^2 .

It is a cyclic number.

It is not a de Polignac number, because 34385257 - 2⁷ = 34385129 is a prime.

It is not a weakly prime, because it can be changed into another prime (34385227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17192628 + 17192629.

It is an arithmetic number, because the mean of its divisors is an integer number (17192629).

Almost surely, 2^34385257 is an apocalyptic number.

It is an amenable number.

34385257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34385257 is an equidigital number, since it uses as much as digits as its factorization.

34385257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 100800, while the sum is 37.

The square root of 34385257 is about 5863.8943544372. The cubic root of 34385257 is about 325.1801982943.

The spelling of 34385257 in words is "thirty-four million, three hundred eighty-five thousand, two hundred fifty-seven".