27749 has 2 divisors, whose sum is σ = 27750. Its totient is φ = 27748.

The previous prime is 27743. The next prime is 27751. The reversal of 27749 is 94772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21025 + 6724 = 145^2 + 82^2 .

It is a cyclic number.

It is not a de Polignac number, because 27749 - 2⁴ = 27733 is a prime.

Together with 27751, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2 + 7⁴ + 7⁴ + 4⁷ + 9⁴ .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13874 + 13875.

It is an arithmetic number, because the mean of its divisors is an integer number (13875).

2²⁷⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

27749 is a deficient number, since it is larger than the sum of its proper divisors (1).

27749 is an equidigital number, since it uses as much as digits as its factorization.

27749 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3528, while the sum is 29.

The square root of 27749 is about 166.5803109614. The cubic root of 27749 is about 30.2748810616.

The spelling of 27749 in words is "twenty-seven thousand, seven hundred forty-nine".