34023677 has 2 divisors, whose sum is σ = 34023678. Its totient is φ = 34023676.

The previous prime is 34023667. The next prime is 34023679. The reversal of 34023677 is 77632043.

34023677 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., 32024281 + 1999396 = 5659^2 + 1414^2 .

It is a cyclic number.

It is not a de Polignac number, because 34023677 - 2²⁰ = 32975101 is a prime.

It is a super-2 number, since 2×34023677² = 2315221193200658, which contains 22 as substring.

Together with 34023679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34023679) 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, 17011838 + 17011839.

It is an arithmetic number, because the mean of its divisors is an integer number (17011839).

Almost surely, 2^34023677 is an apocalyptic number.

It is an amenable number.

34023677 is a deficient number, since it is larger than the sum of its proper divisors (1).

34023677 is an equidigital number, since it uses as much as digits as its factorization.

34023677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 32.

The square root of 34023677 is about 5832.9818275047. The cubic root of 34023677 is about 324.0363629614.

The spelling of 34023677 in words is "thirty-four million, twenty-three thousand, six hundred seventy-seven".