27638129 has 2 divisors, whose sum is σ = 27638130. Its totient is φ = 27638128.

The previous prime is 27638119. The next prime is 27638161. The reversal of 27638129 is 92183672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27615025 + 23104 = 5255^2 + 152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27638129 is a prime.

It is a super-3 number, since 3×27638129³ (a number of 23 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27638092 and 27638101.

It is not a weakly prime, because it can be changed into another prime (27638119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13819064 + 13819065.

It is an arithmetic number, because the mean of its divisors is an integer number (13819065).

Almost surely, 2^27638129 is an apocalyptic number.

It is an amenable number.

27638129 is a deficient number, since it is larger than the sum of its proper divisors (1).

27638129 is an equidigital number, since it uses as much as digits as its factorization.

27638129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 38.

The square root of 27638129 is about 5257.1978277406. The cubic root of 27638129 is about 302.3450619255.

The spelling of 27638129 in words is "twenty-seven million, six hundred thirty-eight thousand, one hundred twenty-nine".