13793 has 4 divisors (see below), whose sum is σ = 14868. Its totient is φ = 12720.

The previous prime is 13789. The next prime is 13799. The reversal of 13793 is 39731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 39731 = 67 ⋅593.

It can be written as a sum of positive squares in 2 ways, for example, as 5329 + 8464 = 73^2 + 92^2 .

It is a cyclic number.

It is not a de Polignac number, because 13793 - 2² = 13789 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13799) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 518 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (3717).

2¹³⁷⁹³ is an apocalyptic number.

13793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13793 is a deficient number, since it is larger than the sum of its proper divisors (1075).

13793 is a wasteful number, since it uses less digits than its factorization.

13793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074.

The product of its digits is 567, while the sum is 23.

The square root of 13793 is about 117.4436034870. The cubic root of 13793 is about 23.9820467586.

The spelling of 13793 in words is "thirteen thousand, seven hundred ninety-three".