6567 has 8 divisors (see below), whose sum is σ = 9600. Its totient is φ = 3960.

The previous prime is 6563. The next prime is 6569. The reversal of 6567 is 7656.

Subtracting 6567 from its reverse (7656), we obtain a square (1089 = 33^{2}).

6567 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 6567 - 2^{2} = 6563 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

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

6567 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67 + ... + 132.

It is an arithmetic number, because the mean of its divisors is an integer number (1200).

2^{6567} is an apocalyptic number.

6567 is a deficient number, since it is larger than the sum of its proper divisors (3033).

6567 is a wasteful number, since it uses less digits than its factorization.

6567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213.

The product of its digits is 1260, while the sum is 24.

The square root of 6567 is about 81.0370285734. The cubic root of 6567 is about 18.7264593459.

The spelling of 6567 in words is "six thousand, five hundred sixty-seven".

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