19875 has 16 divisors (see below), whose sum is σ = 33696. Its totient is φ = 10400.

The previous prime is 19867. The next prime is 19889. The reversal of 19875 is 57891.

19875 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 19875 - 2³ = 19867 is a prime.

19875 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (2106).

2¹⁹⁸⁷⁵ is an apocalyptic number.

19875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19875 is a deficient number, since it is larger than the sum of its proper divisors (13821).

19875 is an equidigital number, since it uses as much as digits as its factorization.

19875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 61 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 19875 is about 140.9787217987. The cubic root of 19875 is about 27.0875075749.

The spelling of 19875 in words is "nineteen thousand, eight hundred seventy-five".