7841 has 2 divisors, whose sum is σ = 7842. Its totient is φ = 7840.

The previous prime is 7829. The next prime is 7853. The reversal of 7841 is 1487.

It is a happy number.

7841 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (7829) and next prime (7853).

It can be written as a sum of positive squares in only one way, i.e., 6241 + 1600 = 79^2 + 40^2 .

It is an emirp because it is prime and its reverse (1487) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7841 is a prime.

It is a super-2 number, since 2×7841² = 122962562, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (7541) 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, 3920 + 3921.

It is an arithmetic number, because the mean of its divisors is an integer number (3921).

2⁷⁸⁴¹ is an apocalyptic number.

It is an amenable number.

7841 is a deficient number, since it is larger than the sum of its proper divisors (1).

7841 is an equidigital number, since it uses as much as digits as its factorization.

7841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 224, while the sum is 20.

The square root of 7841 is about 88.5494212291. The cubic root of 7841 is about 19.8666123647.

It can be divided in two parts, 7 and 841, that added together give a palindrome (848).

The spelling of 7841 in words is "seven thousand, eight hundred forty-one".