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12137617 is a prime number
BaseRepresentation
bin101110010011…
…010010010001
3211211122200101
4232103102101
511101400432
61112052401
7205111432
oct56232221
924748611
1012137617
116940198
124094101
13268c82b
14187d489
1510eb4e7
hexb93491

12137617 has 2 divisors, whose sum is σ = 12137618. Its totient is φ = 12137616.

The previous prime is 12137611. The next prime is 12137621. The reversal of 12137617 is 71673121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9054081 + 3083536 = 3009^2 + 1756^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12137617 is a prime.

It is not a weakly prime, because it can be changed into another prime (12137611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6068808 + 6068809.

It is an arithmetic number, because the mean of its divisors is an integer number (6068809).

Almost surely, 212137617 is an apocalyptic number.

It is an amenable number.

12137617 is a deficient number, since it is larger than the sum of its proper divisors (1).

12137617 is an equidigital number, since it uses as much as digits as its factorization.

12137617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1764, while the sum is 28.

The square root of 12137617 is about 3483.9082938562. The cubic root of 12137617 is about 229.8147026789.

The spelling of 12137617 in words is "twelve million, one hundred thirty-seven thousand, six hundred seventeen".