27409 has 2 divisors, whose sum is σ = 27410. Its totient is φ = 27408.

The previous prime is 27407. The next prime is 27427. The reversal of 27409 is 90472.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16384 + 11025 = 128^2 + 105^2 .

It is a cyclic number.

It is not a de Polignac number, because 27409 - 2¹ = 27407 is a prime.

Together with 27407, it forms a pair of twin primes.

It is a Chen prime.

27409 is a lucky number.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 27409.

It is not a weakly prime, because it can be changed into another prime (27407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13704 + 13705.

It is an arithmetic number, because the mean of its divisors is an integer number (13705).

2²⁷⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

27409 is a deficient number, since it is larger than the sum of its proper divisors (1).

27409 is an equidigital number, since it uses as much as digits as its factorization.

27409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 27409 is about 165.5566368346. The cubic root of 27409 is about 30.1507229662.

The spelling of 27409 in words is "twenty-seven thousand, four hundred nine".