27527 has 2 divisors, whose sum is σ = 27528. Its totient is φ = 27526.

The previous prime is 27509. The next prime is 27529. The reversal of 27527 is 72572.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 27527 - 2⁸ = 27271 is a prime.

Together with 27529, 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 + 5³ + 2¹³ + 7⁵ .

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, 13763 + 13764.

It is an arithmetic number, because the mean of its divisors is an integer number (13764).

2²⁷⁵²⁷ is an apocalyptic number.

27527 is a deficient number, since it is larger than the sum of its proper divisors (1).

27527 is an equidigital number, since it uses as much as digits as its factorization.

27527 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 980, while the sum is 23.

The square root of 27527 is about 165.9126276086. The cubic root of 27527 is about 30.1939288704.

The spelling of 27527 in words is "twenty-seven thousand, five hundred twenty-seven".