13784 has 8 divisors (see below), whose sum is σ = 25860. Its totient is φ = 6888.

The previous prime is 13781. The next prime is 13789. The reversal of 13784 is 48731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

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 as a sum of consecutive naturals, namely, 854 + ... + 869.

2¹³⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

13784 is a deficient number, since it is larger than the sum of its proper divisors (12076).

13784 is a wasteful number, since it uses less digits than its factorization.

13784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1725 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 13784 is about 117.4052809715. The cubic root of 13784 is about 23.9768294894.

It can be divided in two parts, 13 and 784, that added together give a palindrome (797).

The spelling of 13784 in words is "thirteen thousand, seven hundred eighty-four".