13684 has 12 divisors (see below), whose sum is σ = 26208. Its totient is φ = 6200.

The previous prime is 13681. The next prime is 13687. The reversal of 13684 is 48631.

13684 = 2² + 3² + ... + 34².

It is an interprime number because it is at equal distance from previous prime (13681) and next prime (13687).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13681) 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, 112 + ... + 199.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2¹³⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

13684 is a deficient number, since it is larger than the sum of its proper divisors (12524).

13684 is a wasteful number, since it uses less digits than its factorization.

13684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 13684 is about 116.9786305271. The cubic root of 13684 is about 23.9187064322.

The spelling of 13684 in words is "thirteen thousand, six hundred eighty-four".