26813 has 2 divisors, whose sum is σ = 26814. Its totient is φ = 26812.

The previous prime is 26801. The next prime is 26821. The reversal of 26813 is 31862.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 1849 = 158^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 26813 - 2⁸ = 26557 is a prime.

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (26833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13406 + 13407.

It is an arithmetic number, because the mean of its divisors is an integer number (13407).

2²⁶⁸¹³ is an apocalyptic number.

It is an amenable number.

26813 is a deficient number, since it is larger than the sum of its proper divisors (1).

26813 is an equidigital number, since it uses as much as digits as its factorization.

26813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 20.

The square root of 26813 is about 163.7467556931. The cubic root of 26813 is about 29.9305802278.

The spelling of 26813 in words is "twenty-six thousand, eight hundred thirteen".