14013 has 10 divisors (see below), whose sum is σ = 21054. Its totient is φ = 9288.

The previous prime is 14011. The next prime is 14029. The reversal of 14013 is 31041.

It can be written as a sum of positive squares in only one way, i.e., 13689 + 324 = 117^2 + 18^2 .

It is not a de Polignac number, because 14013 - 2¹ = 14011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a plaindrome in base 7 and base 16.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 13986 and 14004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6 + ... + 167.

2¹⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

14013 is a deficient number, since it is larger than the sum of its proper divisors (7041).

14013 is an equidigital number, since it uses as much as digits as its factorization.

14013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 14013 is about 118.3765179417. The cubic root of 14013 is about 24.1088802981.

Adding to 14013 its reverse (31041), we get a palindrome (45054).

It can be divided in two parts, 140 and 13, that added together give a triangular number (153 = T₁₇).

The spelling of 14013 in words is "fourteen thousand, thirteen".