7873 has 2 divisors, whose sum is σ = 7874. Its totient is φ = 7872.

The previous prime is 7867. The next prime is 7877. The reversal of 7873 is 3787.

7873 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4624 + 3249 = 68^2 + 57^2 .

It is a cyclic number.

It is not a de Polignac number, because 7873 - 2⁵ = 7841 is a prime.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (7877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3936 + 3937.

It is an arithmetic number, because the mean of its divisors is an integer number (3937).

2⁷⁸⁷³ is an apocalyptic number.

It is an amenable number.

7873 is a deficient number, since it is larger than the sum of its proper divisors (1).

7873 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 13 representation: 7873 = (3778)₁₃.

7873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1176, while the sum is 25.

The square root of 7873 is about 88.7299273075. The cubic root of 7873 is about 19.8936016399.

It can be divided in two parts, 78 and 73, that added together give a palindrome (151).

The spelling of 7873 in words is "seven thousand, eight hundred seventy-three".