16575 has 24 divisors (see below), whose sum is σ = 31248. Its totient is φ = 7680.

The previous prime is 16573. The next prime is 16603. The reversal of 16575 is 57561.

It is not a de Polignac number, because 16575 - 2¹ = 16573 is a prime.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

2¹⁶⁵⁷⁵ is an apocalyptic number.

16575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16575 is a deficient number, since it is larger than the sum of its proper divisors (14673).

16575 is a wasteful number, since it uses less digits than its factorization.

16575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 38 counting only the distinct ones).

The product of its digits is 1050, while the sum is 24.

The square root of 16575 is about 128.7439318958. The cubic root of 16575 is about 25.4967316072.

The spelling of 16575 in words is "sixteen thousand, five hundred seventy-five".