13838581 has 2 divisors, whose sum is σ = 13838582. Its totient is φ = 13838580.

The previous prime is 13838579. The next prime is 13838599. The reversal of 13838581 is 18583831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13727025 + 111556 = 3705^2 + 334^2 .

It is a cyclic number.

It is not a de Polignac number, because 13838581 - 2¹ = 13838579 is a prime.

It is a super-3 number, since 3×13838581³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 13838579, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13838581.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13838501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6919290 + 6919291.

It is an arithmetic number, because the mean of its divisors is an integer number (6919291).

Almost surely, 2^13838581 is an apocalyptic number.

It is an amenable number.

13838581 is a deficient number, since it is larger than the sum of its proper divisors (1).

13838581 is an equidigital number, since it uses as much as digits as its factorization.

13838581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23040, while the sum is 37.

The square root of 13838581 is about 3720.0243278774. The cubic root of 13838581 is about 240.0843511373.

The spelling of 13838581 in words is "thirteen million, eight hundred thirty-eight thousand, five hundred eighty-one".