13567 has 2 divisors, whose sum is σ = 13568. Its totient is φ = 13566.

The previous prime is 13553. The next prime is 13577. The reversal of 13567 is 76531.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13567 - 2¹¹ = 11519 is a prime.

It is a Chen prime.

13567 is a lucky number.

It is a plaindrome in base 10 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6783 + 6784.

It is an arithmetic number, because the mean of its divisors is an integer number (6784).

2¹³⁵⁶⁷ is an apocalyptic number.

13567 is a deficient number, since it is larger than the sum of its proper divisors (1).

13567 is an equidigital number, since it uses as much as digits as its factorization.

13567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 630, while the sum is 22.

The square root of 13567 is about 116.4774656318. The cubic root of 13567 is about 23.8503418563.

It can be divided in two parts, 135 and 67, that multiplied together give a triangular number (9045 = T₁₃₄).

The spelling of 13567 in words is "thirteen thousand, five hundred sixty-seven".