Search a number
13333 = 67199
BaseRepresentation
bin11010000010101
3200021211
43100111
5411313
6141421
753605
oct32025
920254
1013333
11a021
127871
1360b8
144c05
153e3d
hex3415

13333 has 4 divisors (see below), whose sum is σ = 13600. Its totient is φ = 13068.

The previous prime is 13331. The next prime is 13337. The reversal of 13333 is 33331.

13333 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a 3-Lehmer number, since φ(13333) divides (13333-1)3.

It is a cyclic number.

It is not a de Polignac number, because 13333 - 21 = 13331 is a prime.

It is a Duffinian number.

13333 is a modest number, since divided by 333 gives 13 as remainder.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 166.

It is an arithmetic number, because the mean of its divisors is an integer number (3400).

213333 is an apocalyptic number.

13333 is the 67-th octagonal number.

It is an amenable number.

13333 is a deficient number, since it is larger than the sum of its proper divisors (267).

13333 is an equidigital number, since it uses as much as digits as its factorization.

13333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266.

The product of its digits is 81, while the sum is 13.

The square root of 13333 is about 115.4686104532. The cubic root of 13333 is about 23.7124244231.

Adding to 13333 its reverse (33331), we get a palindrome (46664).

The spelling of 13333 in words is "thirteen thousand, three hundred thirty-three".

Divisors: 1 67 199 13333