34385693 has 2 divisors, whose sum is σ = 34385694. Its totient is φ = 34385692.

The previous prime is 34385671. The next prime is 34385699. The reversal of 34385693 is 39658343.

34385693 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., 31382404 + 3003289 = 5602^2 + 1733^2 .

It is a cyclic number.

It is not a de Polignac number, because 34385693 - 2⁶ = 34385629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34385693.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34385699) 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, 17192846 + 17192847.

It is an arithmetic number, because the mean of its divisors is an integer number (17192847).

Almost surely, 2^34385693 is an apocalyptic number.

It is an amenable number.

34385693 is a deficient number, since it is larger than the sum of its proper divisors (1).

34385693 is an equidigital number, since it uses as much as digits as its factorization.

34385693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 233280, while the sum is 41.

The square root of 34385693 is about 5863.9315309782. The cubic root of 34385693 is about 325.1815727009.

The spelling of 34385693 in words is "thirty-four million, three hundred eighty-five thousand, six hundred ninety-three".