13827023165 has 8 divisors (see below), whose sum is σ = 16621187640. Its totient is φ = 11042445312.

The previous prime is 13827023141. The next prime is 13827023167. The reversal of 13827023165 is 56132072831.

13827023165 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2118484729 + 11708538436 = 46027^2 + 108206^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13827023165 - 2⁶ = 13827023101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13827023167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2393480 + ... + 2399249.

It is an arithmetic number, because the mean of its divisors is an integer number (2077648455).

Almost surely, 2^13827023165 is an apocalyptic number.

It is an amenable number.

13827023165 is a deficient number, since it is larger than the sum of its proper divisors (2794164475).

13827023165 is an equidigital number, since it uses as much as digits as its factorization.

13827023165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793311.

The product of its (nonzero) digits is 60480, while the sum is 38.

Adding to 13827023165 its reverse (56132072831), we get a palindrome (69959095996).

The spelling of 13827023165 in words is "thirteen billion, eight hundred twenty-seven million, twenty-three thousand, one hundred sixty-five".