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12097 is a prime number
BaseRepresentation
bin10111101000001
3121121001
42331001
5341342
6132001
750161
oct27501
917531
1012097
1190a8
127001
135677
1445a1
1538b7
hex2f41

12097 has 2 divisors, whose sum is σ = 12098. Its totient is φ = 12096.

The previous prime is 12073. The next prime is 12101. The reversal of 12097 is 79021.

12097 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., 7056 + 5041 = 84^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 12097 - 27 = 11969 is a prime.

12097 is a lucky number.

It is a plaindrome in base 13.

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, 6048 + 6049.

It is an arithmetic number, because the mean of its divisors is an integer number (6049).

212097 is an apocalyptic number.

12097 is the 64-th hex number.

It is an amenable number.

12097 is a deficient number, since it is larger than the sum of its proper divisors (1).

12097 is an equidigital number, since it uses as much as digits as its factorization.

12097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 12097 is about 109.9863627910. The cubic root of 12097 is about 22.9558067589.

The spelling of 12097 in words is "twelve thousand, ninety-seven".