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12837493 is a prime number
BaseRepresentation
bin110000111110…
…001001110101
3220011012201201
4300332021311
511241244433
61135052501
7214055044
oct60761165
926135651
1012837493
117278aa9
124371131
132876266
1419c255b
1511d8a7d
hexc3e275

12837493 has 2 divisors, whose sum is σ = 12837494. Its totient is φ = 12837492.

The previous prime is 12837491. The next prime is 12837509. The reversal of 12837493 is 39473821.

12837493 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7851204 + 4986289 = 2802^2 + 2233^2 .

It is a cyclic number.

It is not a de Polignac number, because 12837493 - 21 = 12837491 is a prime.

Together with 12837491, it forms a pair of twin primes.

It is equal to p839386 and since 12837493 and 839386 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12837491) 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, 6418746 + 6418747.

It is an arithmetic number, because the mean of its divisors is an integer number (6418747).

Almost surely, 212837493 is an apocalyptic number.

It is an amenable number.

12837493 is a deficient number, since it is larger than the sum of its proper divisors (1).

12837493 is an equidigital number, since it uses as much as digits as its factorization.

12837493 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 37.

The square root of 12837493 is about 3582.9447386193. The cubic root of 12837493 is about 234.1495926615.

The spelling of 12837493 in words is "twelve million, eight hundred thirty-seven thousand, four hundred ninety-three".