4583 has 2 divisors, whose sum is σ = 4584. Its totient is φ = 4582.

The previous prime is 4567. The next prime is 4591. The reversal of 4583 is 3854.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4583 - 2⁴ = 4567 is a prime.

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

It is a plaindrome in base 12 and base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2291 + 2292.

It is an arithmetic number, because the mean of its divisors is an integer number (2292).

2⁴⁵⁸³ is an apocalyptic number.

4583 is a deficient number, since it is larger than the sum of its proper divisors (1).

4583 is an equidigital number, since it uses as much as digits as its factorization.

4583 is an evil number, because the sum of its binary digits is even.

The product of its digits is 480, while the sum is 20.

The square root of 4583 is about 67.6978581641. The cubic root of 4583 is about 16.6105221914.

Subtracting from 4583 its reverse (3854), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 45 and 83, that added together give a 7-th power (128 = 2⁷).

The spelling of 4583 in words is "four thousand, five hundred eighty-three".