12321 has 9 divisors (see below), whose sum is σ = 18291. Its totient is φ = 7992.

The previous prime is 12301. The next prime is 12323.

It can be divided in two parts, 123 and 21, that added together give a square (144 = 12^{2}).

12321 = T_{5} + T_{6} + ... +
T_{41}.

It is a happy number.

The square root of 12321 is 111.

It is a perfect power (a square), and thus also a powerful number.

12321 is nontrivially palindromic in base 10.

12321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

12321 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 1296 = 105^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12321 - 2^{5} = 12289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

12321 is a lucky 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 8 ways as a sum of consecutive naturals, for example, 315 + ... + 351.

12321 is a Friedman number, since it can be written as (113-2)^2, using all its digits and the basic arithmetic operations.

2^{12321} is an apocalyptic number.

12321 is the 111-st square number.

12321 is the 56-th centered octagonal number.

It is an amenable number.

12321 is a deficient number, since it is larger than the sum of its proper divisors (5970).

12321 is an equidigital number, since it uses as much as digits as its factorization.

12321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The cubic root of 12321 is about 23.0966318809.

The spelling of 12321 in words is "twelve thousand, three hundred twenty-one", and thus it is an iban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.060 sec. • engine limits •