26771 has 4 divisors (see below), whose sum is σ = 28200. Its totient is φ = 25344.

The previous prime is 26759. The next prime is 26777. The reversal of 26771 is 17762.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 26771 - 2¹⁰ = 25747 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (26777) 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 3 ways as a sum of consecutive naturals, for example, 686 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (7050).

2²⁶⁷⁷¹ is an apocalyptic number.

26771 is a deficient number, since it is larger than the sum of its proper divisors (1429).

26771 is a wasteful number, since it uses less digits than its factorization.

26771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428.

The product of its digits is 588, while the sum is 23.

The square root of 26771 is about 163.6184586164. The cubic root of 26771 is about 29.9149442638.

Subtracting from 26771 its reverse (17762), we obtain a palindrome (9009).

It can be divided in two parts, 26 and 771, that added together give a palindrome (797).

The spelling of 26771 in words is "twenty-six thousand, seven hundred seventy-one".