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12137533 is a prime number
BaseRepresentation
bin101110010011…
…010000111101
3211211122120021
4232103100331
511101400113
61112052141
7205111252
oct56232075
924748507
1012137533
116940121
124094051
13268c795
14187d429
1510eb48d
hexb9343d

12137533 has 2 divisors, whose sum is σ = 12137534. Its totient is φ = 12137532.

The previous prime is 12137509. The next prime is 12137551. The reversal of 12137533 is 33573121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7963684 + 4173849 = 2822^2 + 2043^2 .

It is an emirp because it is prime and its reverse (33573121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12137533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12137498 and 12137507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12137563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6068766 + 6068767.

It is an arithmetic number, because the mean of its divisors is an integer number (6068767).

Almost surely, 212137533 is an apocalyptic number.

It is an amenable number.

12137533 is a deficient number, since it is larger than the sum of its proper divisors (1).

12137533 is an equidigital number, since it uses as much as digits as its factorization.

12137533 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1890, while the sum is 25.

The square root of 12137533 is about 3483.8962384089. The cubic root of 12137533 is about 229.8141725232.

The spelling of 12137533 in words is "twelve million, one hundred thirty-seven thousand, five hundred thirty-three".