16523 has 8 divisors (see below), whose sum is σ = 18816. Its totient is φ = 14400.

The previous prime is 16519. The next prime is 16529. The reversal of 16523 is 32561.

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

It is a cyclic number.

It is not a de Polignac number, because 16523 - 2² = 16519 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 9.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (2352).

2¹⁶⁵²³ is an apocalyptic number.

16523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

16523 is a deficient number, since it is larger than the sum of its proper divisors (2293).

16523 is a wasteful number, since it uses less digits than its factorization.

16523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85.

The product of its digits is 180, while the sum is 17.

The square root of 16523 is about 128.5418219880. The cubic root of 16523 is about 25.4700404267.

The spelling of 16523 in words is "sixteen thousand, five hundred twenty-three".