13914 has 12 divisors (see below), whose sum is σ = 30186. Its totient is φ = 4632.

The previous prime is 13913. The next prime is 13921. The reversal of 13914 is 41931.

13914 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 13689 + 225 = 117^2 + 15^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 773 = 13914 / (1 + 3 + 9 + 1 + 4).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (13913) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 369 + ... + 404.

2¹³⁹¹⁴ is an apocalyptic number.

13914 is an abundant number, since it is smaller than the sum of its proper divisors (16272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13914 is a wasteful number, since it uses less digits than its factorization.

13914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 778 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 13914 is about 117.9576195080. The cubic root of 13914 is about 24.0519707123.

It can be divided in two parts, 139 and 14, that added together give a triangular number (153 = T₁₇).

The spelling of 13914 in words is "thirteen thousand, nine hundred fourteen".