13933 has 2 divisors, whose sum is σ = 13934. Its totient is φ = 13932.

The previous prime is 13931. The next prime is 13963. The reversal of 13933 is 33931.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13924 + 9 = 118^2 + 3^2 .

It is an emirp because it is prime and its reverse (33931) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13933 - 2¹ = 13931 is a prime.

Together with 13931, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 1 + 3⁶ + 9² + 3⁸ + 3⁸ .

It is equal to p₁₆₄₈ and since 13933 and 1648 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13933.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6966 + 6967.

It is an arithmetic number, because the mean of its divisors is an integer number (6967).

2¹³⁹³³ is an apocalyptic number.

It is an amenable number.

13933 is a deficient number, since it is larger than the sum of its proper divisors (1).

13933 is an equidigital number, since it uses as much as digits as its factorization.

13933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 243, while the sum is 19.

The square root of 13933 is about 118.0381294328. The cubic root of 13933 is about 24.0629136377.

It can be divided in two parts, 13 and 933, that added together give a triangular number (946 = T₄₃).

The spelling of 13933 in words is "thirteen thousand, nine hundred thirty-three".