13893 has 8 divisors (see below), whose sum is σ = 20256. Its totient is φ = 8400.

The previous prime is 13883. The next prime is 13901. The reversal of 13893 is 39831.

13893 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13893 - 2⁴ = 13877 is a prime.

13893 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 243.

It is an arithmetic number, because the mean of its divisors is an integer number (2532).

2¹³⁸⁹³ is an apocalyptic number.

It is an amenable number.

13893 is a deficient number, since it is larger than the sum of its proper divisors (6363).

13893 is a wasteful number, since it uses less digits than its factorization.

13893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435.

The product of its digits is 648, while the sum is 24.

The square root of 13893 is about 117.8685708745. The cubic root of 13893 is about 24.0398643038.

Adding to 13893 its product of digits (648), we get a palindrome (14541).

It can be divided in two parts, 138 and 93, that added together give a triangular number (231 = T₂₁).

The spelling of 13893 in words is "thirteen thousand, eight hundred ninety-three".