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12838627 is a prime number
BaseRepresentation
bin110000111110…
…011011100011
3220011021021201
4300332123203
511241314002
61135102031
7214061254
oct60763343
926137251
1012838627
11727993a
124371917
132876929
1419c2b2b
1511d9087
hexc3e6e3

12838627 has 2 divisors, whose sum is σ = 12838628. Its totient is φ = 12838626.

The previous prime is 12838613. The next prime is 12838643. The reversal of 12838627 is 72683821.

12838627 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12838627 is a prime.

It is equal to p839467 and since 12838627 and 839467 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (12838127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6419313 + 6419314.

It is an arithmetic number, because the mean of its divisors is an integer number (6419314).

Almost surely, 212838627 is an apocalyptic number.

12838627 is a deficient number, since it is larger than the sum of its proper divisors (1).

12838627 is an equidigital number, since it uses as much as digits as its factorization.

12838627 is an evil number, because the sum of its binary digits is even.

The product of its digits is 32256, while the sum is 37.

The square root of 12838627 is about 3583.1029848443. The cubic root of 12838627 is about 234.1564869936.

The spelling of 12838627 in words is "twelve million, eight hundred thirty-eight thousand, six hundred twenty-seven".