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12957337 is a prime number
BaseRepresentation
bin110001011011…
…011010011001
3220101022010101
4301123122121
511304113322
61141415401
7215064331
oct61333231
926338111
1012957337
117350048
12440a561
1328b8983
141a140c1
15120e327
hexc5b699

12957337 has 2 divisors, whose sum is σ = 12957338. Its totient is φ = 12957336.

The previous prime is 12957317. The next prime is 12957361. The reversal of 12957337 is 73375921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9803161 + 3154176 = 3131^2 + 1776^2 .

It is a cyclic number.

It is not a de Polignac number, because 12957337 - 27 = 12957209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12957296 and 12957305.

It is not a weakly prime, because it can be changed into another prime (12957317) 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, 6478668 + 6478669.

It is an arithmetic number, because the mean of its divisors is an integer number (6478669).

Almost surely, 212957337 is an apocalyptic number.

It is an amenable number.

12957337 is a deficient number, since it is larger than the sum of its proper divisors (1).

12957337 is an equidigital number, since it uses as much as digits as its factorization.

12957337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39690, while the sum is 37.

The square root of 12957337 is about 3599.6301198873. The cubic root of 12957337 is about 234.8759689537.

The spelling of 12957337 in words is "twelve million, nine hundred fifty-seven thousand, three hundred thirty-seven".