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13827637 is a prime number
BaseRepresentation
bin110100101111…
…111000110101
3222000111221201
4310233320311
512014441022
61212212501
7225350545
oct64577065
928014851
1013827637
1178949aa
12476a131
132b31b45
141b9d325
151332127
hexd2fe35

13827637 has 2 divisors, whose sum is σ = 13827638. Its totient is φ = 13827636.

The previous prime is 13827629. The next prime is 13827673. The reversal of 13827637 is 73672831.

Together with next prime (13827673) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11350161 + 2477476 = 3369^2 + 1574^2 .

It is an emirp because it is prime and its reverse (73672831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13827637 - 23 = 13827629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13827596 and 13827605.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13827617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6913818 + 6913819.

It is an arithmetic number, because the mean of its divisors is an integer number (6913819).

Almost surely, 213827637 is an apocalyptic number.

It is an amenable number.

13827637 is a deficient number, since it is larger than the sum of its proper divisors (1).

13827637 is an equidigital number, since it uses as much as digits as its factorization.

13827637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 37.

The square root of 13827637 is about 3718.5530788198. The cubic root of 13827637 is about 240.0210456082.

The spelling of 13827637 in words is "thirteen million, eight hundred twenty-seven thousand, six hundred thirty-seven".