13833 has 12 divisors (see below), whose sum is σ = 21060. Its totient is φ = 8736.

The previous prime is 13831. The next prime is 13841. The reversal of 13833 is 33831.

It can be written as a sum of positive squares in 2 ways, for example, as 8649 + 5184 = 93^2 + 72^2 .

It is not a de Polignac number, because 13833 - 2¹ = 13831 is a prime.

13833 is a lucky number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (1755).

2¹³⁸³³ is an apocalyptic number.

It is an amenable number.

13833 is a deficient number, since it is larger than the sum of its proper divisors (7227).

13833 is a wasteful number, since it uses less digits than its factorization.

13833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 85 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13833 is about 117.6137747035. The cubic root of 13833 is about 24.0052072035.

It can be divided in two parts, 138 and 33, that multiplied together give a palindrome (4554).

The spelling of 13833 in words is "thirteen thousand, eight hundred thirty-three".