14031 has 6 divisors (see below), whose sum is σ = 20280. Its totient is φ = 9348.

The previous prime is 14029. The next prime is 14033. The reversal of 14031 is 13041.

It is an interprime number because it is at equal distance from previous prime (14029) and next prime (14033).

It is not a de Polignac number, because 14031 - 2^{1} = 14029 is a prime.

It is a super-2 number, since 2×14031^{2} = 393737922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1559 = 14031 / (1 + 4 + 0 + 3 + 1).

14031 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 14031.

It is not an unprimeable number, because it can be changed into a prime (14033) 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, 771 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (3380).

2^{14031} is an apocalyptic number.

14031 is a deficient number, since it is larger than the sum of its proper divisors (6249).

14031 is a wasteful number, since it uses less digits than its factorization.

14031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1562 counting only the distinct ones).

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

The square root of 14031 is about 118.4525221344. The cubic root of 14031 is about 24.1191986731.

Adding to 14031 its reverse (13041), we get a palindrome (27072).

Subtracting from 14031 its reverse (13041), we obtain a triangular number (990 = T_{44}).

It can be divided in two parts, 140 and 31, that added together give a palindrome (171).

The spelling of 14031 in words is "fourteen thousand, thirty-one".

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