26567 has 4 divisors (see below), whose sum is σ = 27456. Its totient is φ = 25680.

The previous prime is 26561. The next prime is 26573. The reversal of 26567 is 76562.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76562 = 2 ⋅38281.

It is an interprime number because it is at equal distance from previous prime (26561) and next prime (26573).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-26567 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 398 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (6864).

2²⁶⁵⁶⁷ is an apocalyptic number.

26567 is a deficient number, since it is larger than the sum of its proper divisors (889).

26567 is an equidigital number, since it uses as much as digits as its factorization.

26567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888.

The product of its digits is 2520, while the sum is 26.

The square root of 26567 is about 162.9938649152. The cubic root of 26567 is about 29.8387646205.

The spelling of 26567 in words is "twenty-six thousand, five hundred sixty-seven".