4589 has 4 divisors (see below), whose sum is σ = 4956. Its totient is φ = 4224.

The previous prime is 4583. The next prime is 4591. The reversal of 4589 is 9854.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1225 + 3364 = 35^2 + 58^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4589 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 10 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (1239).

2⁴⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

4589 is a deficient number, since it is larger than the sum of its proper divisors (367).

4589 is a wasteful number, since it uses less digits than its factorization.

4589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366.

The product of its digits is 1440, while the sum is 26.

The square root of 4589 is about 67.7421582178. The cubic root of 4589 is about 16.6177677854.

It can be divided in two parts, 45 and 89, that multiplied together give a triangular number (4005 = T₈₉).

The spelling of 4589 in words is "four thousand, five hundred eighty-nine".