13837213 has 12 divisors (see below), whose sum is σ = 15356628. Its totient is φ = 12455040.

The previous prime is 13837207. The next prime is 13837231. The reversal of 13837213 is 31273831.

It can be written as a sum of positive squares in 6 ways, for example, as 9622404 + 4214809 = 3102^2 + 2053^2 .

It is not a de Polignac number, because 13837213 - 2¹⁷ = 13706141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13837273) 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 in 11 ways as a sum of consecutive naturals, for example, 5931 + ... + 7927.

It is an arithmetic number, because the mean of its divisors is an integer number (1279719).

Almost surely, 2^13837213 is an apocalyptic number.

13837213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13837213 is a deficient number, since it is larger than the sum of its proper divisors (1519415).

13837213 is a wasteful number, since it uses less digits than its factorization.

13837213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2051 counting only the distinct ones).

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

The square root of 13837213 is about 3719.8404535679. The cubic root of 13837213 is about 240.0764397718.

The spelling of 13837213 in words is "thirteen million, eight hundred thirty-seven thousand, two hundred thirteen".