3567 has 8 divisors (see below), whose sum is σ = 5040. Its totient is φ = 2240.

The previous prime is 3559. The next prime is 3571. The reversal of 3567 is 7653.

3567 is an esthetic number in base 16, 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 a cyclic number.

It is not a de Polignac number, because 3567 - 2³ = 3559 is a prime.

It is a plaindrome in base 10 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3517) 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 + ... + 107.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

3567 is a deficient number, since it is larger than the sum of its proper divisors (1473).

3567 is a wasteful number, since it uses less digits than its factorization.

3567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73.

The product of its digits is 630, while the sum is 21.

The square root of 3567 is about 59.7243668866. The cubic root of 3567 is about 15.2792148021.

It can be divided in two parts, 356 and 7, that added together give a palindrome (363).

The spelling of 3567 in words is "three thousand, five hundred sixty-seven".