6582 has 8 divisors (see below), whose sum is σ = 13176. Its totient is φ = 2192.

The previous prime is 6581. The next prime is 6599. The reversal of 6582 is 2856.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

6582 is an admirable 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, 543 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (1647).

2⁶⁵⁸² is an apocalyptic number.

6582 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588).

6582 is a wasteful number, since it uses less digits than its factorization.

6582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102.

The product of its digits is 480, while the sum is 21.

The square root of 6582 is about 81.1295260679. The cubic root of 6582 is about 18.7407065055.

Subtracting from 6582 its sum of digits (21), we obtain a 8-th power (6561 = 3⁸).

The spelling of 6582 in words is "six thousand, five hundred eighty-two".