13951 has 4 divisors (see below), whose sum is σ = 15952. Its totient is φ = 11952.

The previous prime is 13933. The next prime is 13963. The reversal of 13951 is 15931.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 15931 = 89 ⋅179.

It is a cyclic number.

It is not a de Polignac number, because 13951 - 2¹¹ = 11903 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

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 (13901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 990 + ... + 1003.

It is an arithmetic number, because the mean of its divisors is an integer number (3988).

2¹³⁹⁵¹ is an apocalyptic number.

13951 is a deficient number, since it is larger than the sum of its proper divisors (2001).

13951 is an equidigital number, since it uses as much as digits as its factorization.

13951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000.

The product of its digits is 135, while the sum is 19.

The square root of 13951 is about 118.1143513719. The cubic root of 13951 is about 24.0732714467.

It can be divided in two parts, 139 and 51, that added together give a triangular number (190 = T₁₉).

The spelling of 13951 in words is "thirteen thousand, nine hundred fifty-one".