13827673 has 2 divisors, whose sum is σ = 13827674. Its totient is φ = 13827672.

The previous prime is 13827637. The next prime is 13827689. The reversal of 13827673 is 37672831.

Together with previous prime (13827637) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9467929 + 4359744 = 3077^2 + 2088^2 .

It is a cyclic number.

It is not a de Polignac number, because 13827673 - 2¹⁷ = 13696601 is a prime.

It is equal to p₈₉₉₆₁₄ and since 13827673 and 899614 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 (13827173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6913836 + 6913837.

It is an arithmetic number, because the mean of its divisors is an integer number (6913837).

Almost surely, 2^13827673 is an apocalyptic number.

It is an amenable number.

13827673 is a deficient number, since it is larger than the sum of its proper divisors (1).

13827673 is an equidigital number, since it uses as much as digits as its factorization.

13827673 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 13827673 is about 3718.5579194091. The cubic root of 13827673 is about 240.0212539048.

The spelling of 13827673 in words is "thirteen million, eight hundred twenty-seven thousand, six hundred seventy-three".