6579 has 12 divisors (see below), whose sum is σ = 10296. Its totient is φ = 4032.

The previous prime is 6577. The next prime is 6581. The reversal of 6579 is 9756.

6579 is a `hidden beast` number, since 657 + 9 = 666.

6579 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (6577) and next prime (6581).

It is not a de Polignac number, because 6579 - 2¹ = 6577 is a prime.

It is a d-powerful number, because it can be written as 6 + 7 + 5 + 9⁴ .

Its product of digits (1890) is a multiple of the sum of its prime divisors (63).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132 + ... + 174.

It is an arithmetic number, because the mean of its divisors is an integer number (858).

2⁶⁵⁷⁹ is an apocalyptic number.

6579 is a deficient number, since it is larger than the sum of its proper divisors (3717).

6579 is a wasteful number, since it uses less digits than its factorization.

6579 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 63 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 6579 is about 81.1110350076. Note that the first 3 decimals coincide. The cubic root of 6579 is about 18.7378588066.

It can be divided in two parts, 657 and 9, that added together give a palindrome (666).

The spelling of 6579 in words is "six thousand, five hundred seventy-nine".