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12337 = 13273
BaseRepresentation
bin11000000110001
3121220221
43000301
5343322
6133041
750653
oct30061
917827
1012337
1192a6
127181
135800
1446d3
1539c7
hex3031

12337 has 6 divisors (see below), whose sum is σ = 13542. Its totient is φ = 11232.

The previous prime is 12329. The next prime is 12343. The reversal of 12337 is 73321.

Subtracting from 12337 its sum of digits (16), we obtain a palindrome (12321).

Adding to 12337 its reverse (73321), we get a palindrome (85658).

12337 = T3 + T4 + ... + T41.

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 12321 = 4^2 + 111^2 .

It is not a de Polignac number, because 12337 - 23 = 12329 is a prime.

It is a Duffinian number.

12337 is a lucky number.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 12337.

It is not an unprimeable number, because it can be changed into a prime (12347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133 + ... + 205.

It is an arithmetic number, because the mean of its divisors is an integer number (2257).

12337 is a Friedman number, since it can be written as 73*13^2, using all its digits and the basic arithmetic operations.

212337 is an apocalyptic number.

It is an amenable number.

12337 is a deficient number, since it is larger than the sum of its proper divisors (1205).

12337 is an equidigital number, since it uses as much as digits as its factorization.

12337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its digits is 126, while the sum is 16.

The square root of 12337 is about 111.0720486891. The cubic root of 12337 is about 23.1066252868.

The spelling of 12337 in words is "twelve thousand, three hundred thirty-seven".

Divisors: 1 13 73 169 949 12337