16567 has 2 divisors, whose sum is σ = 16568. Its totient is φ = 16566.

The previous prime is 16561. The next prime is 16573. The reversal of 16567 is 76561.

It is a balanced prime because it is at equal distance from previous prime (16561) and next prime (16573).

It is an emirp because it is prime and its reverse (76561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 16567 - 2¹¹ = 14519 is a prime.

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

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16561) 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 as a sum of consecutive naturals, namely, 8283 + 8284.

It is an arithmetic number, because the mean of its divisors is an integer number (8284).

2¹⁶⁵⁶⁷ is an apocalyptic number.

16567 is a deficient number, since it is larger than the sum of its proper divisors (1).

16567 is an equidigital number, since it uses as much as digits as its factorization.

16567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 25.

The square root of 16567 is about 128.7128587205. The cubic root of 16567 is about 25.4926289088.

It can be divided in two parts, 165 and 67, that added together give a palindrome (232).

The spelling of 16567 in words is "sixteen thousand, five hundred sixty-seven".