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12037 is a prime number
BaseRepresentation
bin10111100000101
3121111211
42330011
5341122
6131421
750044
oct27405
917454
1012037
119053
126b71
13562c
14455b
153877
hex2f05

12037 has 2 divisors, whose sum is σ = 12038. Its totient is φ = 12036.

The previous prime is 12011. The next prime is 12041. The reversal of 12037 is 73021.

Adding to 12037 its reverse (73021), we get a palindrome (85058).

12037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6561 + 5476 = 81^2 + 74^2 .

It is a cyclic number.

It is not a de Polignac number, because 12037 - 27 = 11909 is a prime.

It is a Chen prime.

12037 is a modest number, since divided by 37 gives 12 as remainder.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12037.

It is not a weakly prime, because it can be changed into another prime (12007) 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 as a sum of consecutive naturals, namely, 6018 + 6019.

It is an arithmetic number, because the mean of its divisors is an integer number (6019).

212037 is an apocalyptic number.

It is an amenable number.

12037 is a deficient number, since it is larger than the sum of its proper divisors (1).

12037 is an equidigital number, since it uses as much as digits as its factorization.

12037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 12037 is about 109.7132626440. The cubic root of 12037 is about 22.9177909458.

The spelling of 12037 in words is "twelve thousand, thirty-seven".