34257829 has 2 divisors, whose sum is σ = 34257830. Its totient is φ = 34257828.

The previous prime is 34257803. The next prime is 34257841. The reversal of 34257829 is 92875243.

34257829 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., 20493729 + 13764100 = 4527^2 + 3710^2 .

It is a cyclic number.

It is not a de Polignac number, because 34257829 - 2¹⁹ = 33733541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34257791 and 34257800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34257889) 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, 17128914 + 17128915.

It is an arithmetic number, because the mean of its divisors is an integer number (17128915).

Almost surely, 2^34257829 is an apocalyptic number.

It is an amenable number.

34257829 is a deficient number, since it is larger than the sum of its proper divisors (1).

34257829 is an equidigital number, since it uses as much as digits as its factorization.

34257829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 40.

The square root of 34257829 is about 5853.0187937508. The cubic root of 34257829 is about 324.7780069809.

The spelling of 34257829 in words is "thirty-four million, two hundred fifty-seven thousand, eight hundred twenty-nine".