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12007 is a prime number
BaseRepresentation
bin10111011100111
3121110201
42323213
5341012
6131331
750002
oct27347
917421
1012007
119026
126b47
135608
144539
153857
hex2ee7

12007 has 2 divisors, whose sum is σ = 12008. Its totient is φ = 12006.

The previous prime is 11987. The next prime is 12011. The reversal of 12007 is 70021.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12007 is a prime.

It is a Chen prime.

12007 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 11984 and 12002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6003 + 6004.

It is an arithmetic number, because the mean of its divisors is an integer number (6004).

212007 is an apocalyptic number.

12007 is a deficient number, since it is larger than the sum of its proper divisors (1).

12007 is an equidigital number, since it uses as much as digits as its factorization.

12007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 12007 is about 109.5764573255. The cubic root of 12007 is about 22.8987356522.

Adding to 12007 its product of nonzero digits (14), we get a palindrome (12021).

Adding to 12007 its reverse (70021), we get a palindrome (82028).

The spelling of 12007 in words is "twelve thousand, seven", and thus it is an iban number.