34591 has 2 divisors, whose sum is σ = 34592. Its totient is φ = 34590.

The previous prime is 34589. The next prime is 34603. The reversal of 34591 is 19543.

It is a weak prime.

It is an emirp because it is prime and its reverse (19543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34591 - 2¹ = 34589 is a prime.

Together with 34589, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17295 + 17296.

It is an arithmetic number, because the mean of its divisors is an integer number (17296).

2³⁴⁵⁹¹ is an apocalyptic number.

34591 is a deficient number, since it is larger than the sum of its proper divisors (1).

34591 is an equidigital number, since it uses as much as digits as its factorization.

34591 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 22.

The square root of 34591 is about 185.9865586541. The cubic root of 34591 is about 32.5827477185.

It can be divided in two parts, 34 and 591, that added together give a 4-th power (625 = 5⁴).

The spelling of 34591 in words is "thirty-four thousand, five hundred ninety-one".