26713 has 2 divisors, whose sum is σ = 26714. Its totient is φ = 26712.

The previous prime is 26711. The next prime is 26717. The reversal of 26713 is 31762.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26569 + 144 = 163^2 + 12^2 .

It is a cyclic number.

It is not a de Polignac number, because 26713 - 2¹ = 26711 is a prime.

Together with 26711, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 2¹¹ + 6⁴ + 7⁵ + 1 + 3⁸ .

It is not a weakly prime, because it can be changed into another prime (26711) 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 as a sum of consecutive naturals, namely, 13356 + 13357.

It is an arithmetic number, because the mean of its divisors is an integer number (13357).

2²⁶⁷¹³ is an apocalyptic number.

It is an amenable number.

26713 is a deficient number, since it is larger than the sum of its proper divisors (1).

26713 is an equidigital number, since it uses as much as digits as its factorization.

26713 is an odious number, because the sum of its binary digits is odd.

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

The square root of 26713 is about 163.4411208968. The cubic root of 26713 is about 29.8933248336.

The spelling of 26713 in words is "twenty-six thousand, seven hundred thirteen".