13827138 has 32 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 4232256.

The previous prime is 13827131. The next prime is 13827139. The reversal of 13827138 is 83172831.

13827138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13827099 and 13827108.

It is not an unprimeable number, because it can be changed into a prime (13827131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20653 + ... + 21311.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 2^13827138 is an apocalyptic number.

13827138 is an abundant number, since it is smaller than the sum of its proper divisors (16110462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13827138 is a wasteful number, since it uses less digits than its factorization.

13827138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946.

The product of its digits is 8064, while the sum is 33.

The square root of 13827138 is about 3718.4859822245. The cubic root of 13827138 is about 240.0181583483.

Adding to 13827138 its reverse (83172831), we get a palindrome (96999969).

The spelling of 13827138 in words is "thirteen million, eight hundred twenty-seven thousand, one hundred thirty-eight".