7893 has 6 divisors (see below), whose sum is σ = 11414. Its totient is φ = 5256.

The previous prime is 7883. The next prime is 7901. The reversal of 7893 is 3987.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7569 + 324 = 87^2 + 18^2 .

It is not a de Polignac number, because 7893 - 2⁴ = 7877 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430 + ... + 447.

2⁷⁸⁹³ is an apocalyptic number.

It is an amenable number.

7893 is a deficient number, since it is larger than the sum of its proper divisors (3521).

7893 is a wasteful number, since it uses less digits than its factorization.

7893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 880 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 7893 is about 88.8425573698. The cubic root of 7893 is about 19.9104328181.

It can be divided in two parts, 78 and 93, that added together give a palindrome (171).

The spelling of 7893 in words is "seven thousand, eight hundred ninety-three".