34065677 has 2 divisors, whose sum is σ = 34065678. Its totient is φ = 34065676.

The previous prime is 34065667. The next prime is 34065679. The reversal of 34065677 is 77656043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26770276 + 7295401 = 5174^2 + 2701^2 .

It is an emirp because it is prime and its reverse (77656043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34065677 - 2¹⁴ = 34049293 is a prime.

Together with 34065679, 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 34065677.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34065679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17032838 + 17032839.

It is an arithmetic number, because the mean of its divisors is an integer number (17032839).

Almost surely, 2^34065677 is an apocalyptic number.

It is an amenable number.

34065677 is a deficient number, since it is larger than the sum of its proper divisors (1).

34065677 is an equidigital number, since it uses as much as digits as its factorization.

34065677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 34065677 is about 5836.5809340743. The cubic root of 34065677 is about 324.1696420213.

The spelling of 34065677 in words is "thirty-four million, sixty-five thousand, six hundred seventy-seven".