12567 has 8 divisors (see below), whose sum is σ = 17280. Its totient is φ = 8120.

The previous prime is 12553. The next prime is 12569. The reversal of 12567 is 76521.

12567 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 12567 - 2⁶ = 12503 is a prime.

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

12567 is a lucky number.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142 + ... + 212.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2¹²⁵⁶⁷ is an apocalyptic number.

12567 is a deficient number, since it is larger than the sum of its proper divisors (4713).

12567 is an equidigital number, since it uses as much as digits as its factorization.

12567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133.

The product of its digits is 420, while the sum is 21.

The square root of 12567 is about 112.1026315481. The cubic root of 12567 is about 23.2493351642.

The spelling of 12567 in words is "twelve thousand, five hundred sixty-seven".