12527 has 2 divisors, whose sum is σ = 12528. Its totient is φ = 12526.

The previous prime is 12517. The next prime is 12539. The reversal of 12527 is 72521.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12527 - 2⁴ = 12511 is a prime.

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

It is a plaindrome in base 6.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6263 + 6264.

It is an arithmetic number, because the mean of its divisors is an integer number (6264).

2¹²⁵²⁷ is an apocalyptic number.

12527 is a deficient number, since it is larger than the sum of its proper divisors (1).

12527 is an equidigital number, since it uses as much as digits as its factorization.

12527 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 140, while the sum is 17.

The square root of 12527 is about 111.9240814124. The cubic root of 12527 is about 23.2246418713.

Adding to 12527 its sum of digits (17), we get a square (12544 = 112²).

It can be divided in two parts, 125 and 27, that multiplied together give a cube (3375 = 15³).

The spelling of 12527 in words is "twelve thousand, five hundred twenty-seven".