268813 has 2 divisors, whose sum is σ = 268814. Its totient is φ = 268812.

The previous prime is 268811. The next prime is 268817. The reversal of 268813 is 318862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209764 + 59049 = 458^2 + 243^2 .

It is a cyclic number.

It is not a de Polignac number, because 268813 - 2¹ = 268811 is a prime.

Together with 268811, it forms a pair of twin primes.

268813 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (268811) 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, 134406 + 134407.

It is an arithmetic number, because the mean of its divisors is an integer number (134407).

2²⁶⁸⁸¹³ is an apocalyptic number.

It is an amenable number.

268813 is a deficient number, since it is larger than the sum of its proper divisors (1).

268813 is an equidigital number, since it uses as much as digits as its factorization.

268813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 28.

The square root of 268813 is about 518.4717928682. The cubic root of 268813 is about 64.5381862296.

It can be divided in two parts, 2688 and 13, that added together give a triangular number (2701 = T₇₃).

The spelling of 268813 in words is "two hundred sixty-eight thousand, eight hundred thirteen".