27509 has 2 divisors, whose sum is σ = 27510. Its totient is φ = 27508.

The previous prime is 27487. The next prime is 27527. The reversal of 27509 is 90572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16900 + 10609 = 130^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 27509 - 2⁸ = 27253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13754 + 13755.

It is an arithmetic number, because the mean of its divisors is an integer number (13755).

2²⁷⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

27509 is a deficient number, since it is larger than the sum of its proper divisors (1).

27509 is an equidigital number, since it uses as much as digits as its factorization.

27509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 27509 is about 165.8583733189. The cubic root of 27509 is about 30.1873461307.

The spelling of 27509 in words is "twenty-seven thousand, five hundred nine".