34259 has 2 divisors, whose sum is σ = 34260. Its totient is φ = 34258.

The previous prime is 34253. The next prime is 34261. The reversal of 34259 is 95243.

34259 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34259 is a prime.

Together with 34261, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₃₆₅₉ and since 34259 and 3659 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34259.

It is not a weakly prime, because it can be changed into another prime (34253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17129 + 17130.

It is an arithmetic number, because the mean of its divisors is an integer number (17130).

2³⁴²⁵⁹ is an apocalyptic number.

34259 is a deficient number, since it is larger than the sum of its proper divisors (1).

34259 is an equidigital number, since it uses as much as digits as its factorization.

34259 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 23.

The square root of 34259 is about 185.0918690813. The cubic root of 34259 is about 32.4781707456.

The spelling of 34259 in words is "thirty-four thousand, two hundred fifty-nine".