13827313 has 2 divisors, whose sum is σ = 13827314. Its totient is φ = 13827312.

The previous prime is 13827311. The next prime is 13827337. The reversal of 13827313 is 31372831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7436529 + 6390784 = 2727^2 + 2528^2 .

It is a cyclic number.

It is not a de Polignac number, because 13827313 - 2¹ = 13827311 is a prime.

Together with 13827311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13827311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6913656 + 6913657.

It is an arithmetic number, because the mean of its divisors is an integer number (6913657).

Almost surely, 2^13827313 is an apocalyptic number.

It is an amenable number.

13827313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13827313 is an equidigital number, since it uses as much as digits as its factorization.

13827313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 13827313 is about 3718.5095132324. The cubic root of 13827313 is about 240.0191709223.

The spelling of 13827313 in words is "thirteen million, eight hundred twenty-seven thousand, three hundred thirteen".