12838137 has 16 divisors (see below), whose sum is σ = 18785088. Its totient is φ = 7750080.

The previous prime is 12838127. The next prime is 12838139. The reversal of 12838137 is 73183821.

12838137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12838137 - 2¹⁶ = 12772601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12838098 and 12838107.

It is not an unprimeable number, because it can be changed into a prime (12838139) 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, 1039 + ... + 5172.

It is an arithmetic number, because the mean of its divisors is an integer number (1174068).

Almost surely, 2^12838137 is an apocalyptic number.

It is an amenable number.

12838137 is a deficient number, since it is larger than the sum of its proper divisors (5946951).

12838137 is a wasteful number, since it uses less digits than its factorization.

12838137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6280.

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

The square root of 12838137 is about 3583.0346077034. The cubic root of 12838137 is about 234.1535080110.

The spelling of 12838137 in words is "twelve million, eight hundred thirty-eight thousand, one hundred thirty-seven".