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12319 = 97127
BaseRepresentation
bin11000000011111
3121220021
43000133
5343234
6133011
750626
oct30037
917807
1012319
11928a
127167
1357b8
1446bd
1539b4
hex301f

12319 has 4 divisors (see below), whose sum is σ = 12544. Its totient is φ = 12096.

The previous prime is 12301. The next prime is 12323. The reversal of 12319 is 91321.

12319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

12319 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 12319 - 29 = 11807 is a prime.

It is a super-2 number, since 2×123192 = 303515522, which contains 22 as substring.

It is a Duffinian number.

12319 is a lucky number.

It is a plaindrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12329) 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 3 ways as a sum of consecutive naturals, for example, 34 + ... + 160.

It is an arithmetic number, because the mean of its divisors is an integer number (3136).

212319 is an apocalyptic number.

12319 is a deficient number, since it is larger than the sum of its proper divisors (225).

12319 is an equidigital number, since it uses as much as digits as its factorization.

12319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its digits is 54, while the sum is 16.

The square root of 12319 is about 110.9909906254. The cubic root of 12319 is about 23.0953820970.

It can be divided in two parts, 12 and 319, that multiplied together give a triangular number (3828 = T87).

The spelling of 12319 in words is "twelve thousand, three hundred nineteen".

Divisors: 1 97 127 12319