13527 has 10 divisors (see below), whose sum is σ = 20328. Its totient is φ = 8964.

The previous prime is 13523. The next prime is 13537. The reversal of 13527 is 72531.

It is not a de Polignac number, because 13527 - 2² = 13523 is a prime.

13527 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13523) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3 + ... + 164.

2¹³⁵²⁷ is an apocalyptic number.

13527 is a deficient number, since it is larger than the sum of its proper divisors (6801).

13527 is an equidigital number, since it uses as much as digits as its factorization.

13527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 13527 is about 116.3056318499. The cubic root of 13527 is about 23.8268792191.

The spelling of 13527 in words is "thirteen thousand, five hundred twenty-seven".