3873 has 4 divisors (see below), whose sum is σ = 5168. Its totient is φ = 2580.

The previous prime is 3863. The next prime is 3877. The reversal of 3873 is 3783.

3873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 3873 - 2⁸ = 3617 is a prime.

It is a D-number.

It is a Duffinian number.

3873 is a lucky number.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 8 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3873.

It is not an unprimeable number, because it can be changed into a prime (3877) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 643 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (1292).

2³⁸⁷³ is an apocalyptic number.

It is an amenable number.

3873 is a deficient number, since it is larger than the sum of its proper divisors (1295).

3873 is a wasteful number, since it uses less digits than its factorization.

3873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294.

The product of its digits is 504, while the sum is 21.

The square root of 3873 is about 62.2334315300. The cubic root of 3873 is about 15.7042005340.

It can be divided in two parts, 38 and 73, that added together give a palindrome (111).

The spelling of 3873 in words is "three thousand, eight hundred seventy-three".