26731 has 2 divisors, whose sum is σ = 26732. Its totient is φ = 26730.

The previous prime is 26729. The next prime is 26737. The reversal of 26731 is 13762.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 26731 - 2¹ = 26729 is a prime.

It is a super-2 number, since 2×26731² = 1429092722, which contains 22 as substring.

Together with 26729, it forms a pair of twin primes.

It is equal to p₂₉₃₅ and since 26731 and 2935 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 26699 and 26708.

It is not a weakly prime, because it can be changed into another prime (26737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13365 + 13366.

It is an arithmetic number, because the mean of its divisors is an integer number (13366).

2²⁶⁷³¹ is an apocalyptic number.

26731 is a deficient number, since it is larger than the sum of its proper divisors (1).

26731 is an equidigital number, since it uses as much as digits as its factorization.

26731 is an evil number, because the sum of its binary digits is even.

The product of its digits is 252, while the sum is 19.

The square root of 26731 is about 163.4961773253. The cubic root of 26731 is about 29.9000376580.

It can be divided in two parts, 26 and 731, that added together give a palindrome (757).

The spelling of 26731 in words is "twenty-six thousand, seven hundred thirty-one".