6583 has 4 divisors (see below), whose sum is σ = 6840. Its totient is φ = 6328.

The previous prime is 6581. The next prime is 6599. The reversal of 6583 is 3856.

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

It is a cyclic number.

It is not a de Polignac number, because 6583 - 2¹ = 6581 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a Duffinian number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6581) 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, 85 + ... + 142.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2⁶⁵⁸³ is an apocalyptic number.

6583 is a deficient number, since it is larger than the sum of its proper divisors (257).

6583 is a wasteful number, since it uses less digits than its factorization.

6583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its digits is 720, while the sum is 22.

The square root of 6583 is about 81.1356888182. The cubic root of 6583 is about 18.7416555462.

Subtracting from 6583 its sum of digits (22), we obtain a 8-th power (6561 = 3⁸).

The spelling of 6583 in words is "six thousand, five hundred eighty-three".