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12333 = 34111
BaseRepresentation
bin11000000101101
3121220210
43000231
5343313
6133033
750646
oct30055
917823
1012333
1192a2
127179
1357c9
1446cd
1539c3
hex302d

12333 has 4 divisors (see below), whose sum is σ = 16448. Its totient is φ = 8220.

The previous prime is 12329. The next prime is 12343. The reversal of 12333 is 33321.

It is a happy number.

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 not a de Polignac number, because 12333 - 22 = 12329 is a prime.

It is a D-number.

It is a Duffinian number.

12333 is a modest number, since divided by 333 gives 12 as remainder.

12333 is a lucky number.

It is a plaindrome in base 10 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323) 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, 2053 + ... + 2058.

It is an arithmetic number, because the mean of its divisors is an integer number (4112).

212333 is an apocalyptic number.

It is an amenable number.

12333 is a deficient number, since it is larger than the sum of its proper divisors (4115).

12333 is an equidigital number, since it uses as much as digits as its factorization.

12333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114.

The product of its digits is 54, while the sum is 12.

The square root of 12333 is about 111.0540408990. The cubic root of 12333 is about 23.1041277457.

Subtracting from 12333 its sum of digits (12), we obtain a palindrome (12321).

Adding to 12333 its reverse (33321), we get a palindrome (45654).

The spelling of 12333 in words is "twelve thousand, three hundred thirty-three".

Divisors: 1 3 4111 12333