26667 has 6 divisors (see below), whose sum is σ = 38532. Its totient is φ = 17772.

The previous prime is 26647. The next prime is 26669. The reversal of 26667 is 76662.

It is not a de Polignac number, because 26667 - 2⁷ = 26539 is a prime.

It is a super-2 number, since 2×26667² = 1422257778, which contains 22 as substring.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 26667.

It is not an unprimeable number, because it can be changed into a prime (26669) 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 5 ways as a sum of consecutive naturals, for example, 1473 + ... + 1490.

It is an arithmetic number, because the mean of its divisors is an integer number (6422).

26667 is a deficient number, since it is larger than the sum of its proper divisors (11865).

26667 is a wasteful number, since it uses less digits than its factorization.

26667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2966 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 26667 is about 163.3003368031. The cubic root of 26667 is about 29.8761561267.

It can be divided in two parts, 266 and 67, that added together give a palindrome (333).

The spelling of 26667 in words is "twenty-six thousand, six hundred sixty-seven".