16875 has 20 divisors (see below), whose sum is σ = 31240. Its totient is φ = 9000.

The previous prime is 16871. The next prime is 16879. The reversal of 16875 is 57861.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

16875 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16871) and next prime (16879).

It is not a de Polignac number, because 16875 - 2² = 16871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1680) is a multiple of the sum of its prime divisors (8).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (16871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3373 + ... + 3377.

It is an arithmetic number, because the mean of its divisors is an integer number (1562).

16875 is a Friedman number, since it can be written as 68+7^5*1, using all its digits and the basic arithmetic operations.

2¹⁶⁸⁷⁵ is an apocalyptic number.

16875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16875 is a deficient number, since it is larger than the sum of its proper divisors (14365).

16875 is an frugal number, since it uses more digits than its factorization.

16875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 8 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 16875 is about 129.9038105677. The cubic root of 16875 is about 25.6496392002.

Multiplying 16875 by its sum of digits (27), we get a square (455625 = 675²).

16875 divided by its sum of digits (27) gives a 4-th power (625 = 5⁴).

It can be divided in two parts, 168 and 75, that added together give a 5-th power (243 = 3⁵).

The spelling of 16875 in words is "sixteen thousand, eight hundred seventy-five".