13693 has 2 divisors, whose sum is σ = 13694. Its totient is φ = 13692.

The previous prime is 13691. The next prime is 13697. The reversal of 13693 is 39631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13689 + 4 = 117^2 + 2^2 .

It is an emirp because it is prime and its reverse (39631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13693 - 2¹ = 13691 is a prime.

Together with 13691, it forms a pair of twin primes.

13693 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6846 + 6847.

It is an arithmetic number, because the mean of its divisors is an integer number (6847).

2¹³⁶⁹³ is an apocalyptic number.

It is an amenable number.

13693 is a deficient number, since it is larger than the sum of its proper divisors (1).

13693 is an equidigital number, since it uses as much as digits as its factorization.

13693 is an evil number, because the sum of its binary digits is even.

The product of its digits is 486, while the sum is 22.

The square root of 13693 is about 117.0170927685. The cubic root of 13693 is about 23.9239490801.

It can be divided in two parts, 13 and 693, that multiplied together give a palindrome (9009).

The spelling of 13693 in words is "thirteen thousand, six hundred ninety-three".