13837993 has 8 divisors (see below), whose sum is σ = 14987336. Its totient is φ = 12700800.

The previous prime is 13837981. The next prime is 13838021. The reversal of 13837993 is 39973831.

13837993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21904 + 13816089 = 148^2 + 3717^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13837993 - 2⁵ = 13837961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13837903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588 + ... + 5293.

It is an arithmetic number, because the mean of its divisors is an integer number (1873417).

Almost surely, 2^13837993 is an apocalyptic number.

13837993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13837993 is the 2353-rd heptagonal number.

It is an amenable number.

13837993 is a deficient number, since it is larger than the sum of its proper divisors (1149343).

13837993 is a wasteful number, since it uses less digits than its factorization.

13837993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075.

The product of its digits is 122472, while the sum is 43.

The square root of 13837993 is about 3719.9452952967. The cubic root of 13837993 is about 240.0809507020.

The spelling of 13837993 in words is "thirteen million, eight hundred thirty-seven thousand, nine hundred ninety-three".