34589 has 2 divisors, whose sum is σ = 34590. Its totient is φ = 34588.

The previous prime is 34583. The next prime is 34591. The reversal of 34589 is 98543.

34589 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., 17689 + 16900 = 133^2 + 130^2 .

It is an emirp because it is prime and its reverse (98543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34589 - 2¹² = 30493 is a prime.

Together with 34591, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17294 + 17295.

It is an arithmetic number, because the mean of its divisors is an integer number (17295).

2³⁴⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

34589 is a deficient number, since it is larger than the sum of its proper divisors (1).

34589 is an equidigital number, since it uses as much as digits as its factorization.

34589 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4320, while the sum is 29.

The square root of 34589 is about 185.9811818438. The cubic root of 34589 is about 32.5821197444.

It can be divided in two parts, 345 and 89, that added together give a palindrome (434).

The spelling of 34589 in words is "thirty-four thousand, five hundred eighty-nine".