13837609 has 6 divisors (see below), whose sum is σ = 14699774. Its totient is φ = 13023360.

The previous prime is 13837601. The next prime is 13837633. The reversal of 13837609 is 90673831.

It can be written as a sum of positive squares in 3 ways, for example, as 8761600 + 5076009 = 2960^2 + 2253^2 .

It is not a de Polignac number, because 13837609 - 2³ = 13837601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13837601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23652 + ... + 24229.

Almost surely, 2^13837609 is an apocalyptic number.

It is an amenable number.

13837609 is a deficient number, since it is larger than the sum of its proper divisors (862165).

13837609 is an equidigital number, since it uses as much as digits as its factorization.

13837609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47915 (or 47898 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 13837609 is about 3719.8936812764. The cubic root of 13837609 is about 240.0787299575.

The spelling of 13837609 in words is "thirteen million, eight hundred thirty-seven thousand, six hundred nine".