13813309 has 8 divisors (see below), whose sum is σ = 14339160. Its totient is φ = 13290816.

The previous prime is 13813307. The next prime is 13813313. The reversal of 13813309 is 90331831.

It can be written as a sum of positive squares in 4 ways, for example, as 3250809 + 10562500 = 1803^2 + 3250^2 .

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

It is not a de Polignac number, because 13813309 - 2¹ = 13813307 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 (13813307) 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 7 ways as a sum of consecutive naturals, for example, 10179 + ... + 11455.

It is an arithmetic number, because the mean of its divisors is an integer number (1792395).

Almost surely, 2^13813309 is an apocalyptic number.

It is an amenable number.

13813309 is a deficient number, since it is larger than the sum of its proper divisors (525851).

13813309 is a wasteful number, since it uses less digits than its factorization.

13813309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 13813309 is about 3716.6260236941. The cubic root of 13813309 is about 239.9381148310.

The spelling of 13813309 in words is "thirteen million, eight hundred thirteen thousand, three hundred nine".