16527 has 8 divisors (see below), whose sum is σ = 25216. Its totient is φ = 9432.

The previous prime is 16519. The next prime is 16529. The reversal of 16527 is 72561.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 16527 - 2³ = 16519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 787 = 16527 / (1 + 6 + 5 + 2 + 7).

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (3152).

2¹⁶⁵²⁷ is an apocalyptic number.

16527 is a deficient number, since it is larger than the sum of its proper divisors (8689).

16527 is an equidigital number, since it uses as much as digits as its factorization.

16527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797.

The product of its digits is 420, while the sum is 21.

The square root of 16527 is about 128.5573801849. The cubic root of 16527 is about 25.4720955809.

16527 divided by its sum of digits (21) gives a palindrome (787).

The spelling of 16527 in words is "sixteen thousand, five hundred twenty-seven".