13783 has 8 divisors (see below), whose sum is σ = 17280. Its totient is φ = 10680.

The previous prime is 13781. The next prime is 13789. The reversal of 13783 is 38731.

13783 is nontrivially palindromic in base 4.

13783 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 13783 - 2¹ = 13781 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 (13781) 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, 13 + ... + 166.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2¹³⁷⁸³ is an apocalyptic number.

13783 is a deficient number, since it is larger than the sum of its proper divisors (3497).

13783 is a wasteful number, since it uses less digits than its factorization.

13783 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197.

The product of its digits is 504, while the sum is 22.

The square root of 13783 is about 117.4010221421. The cubic root of 13783 is about 23.9762496526.

The spelling of 13783 in words is "thirteen thousand, seven hundred eighty-three".