8741 has 2 divisors, whose sum is σ = 8742.
Its totient is φ = 8740.
The previous prime is 8737. The next prime is 8747. The reversal of 8741 is 1478.
It can be divided in two parts, 87 and 41, that added together give a 7-th power (128 = 27).
It is a happy number.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 6241 + 2500 = 79^2 + 50^2
It is a cyclic number.
It is not a de Polignac number, because 8741 - 22 = 8737 is a prime.
It is a Sophie Germain prime.
It is a Chen prime.
It is an alternating number because its digits alternate between even and odd.
It is a Curzon number.
It is a plaindrome in base 16.
It is a nialpdrome in base 10.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8741.
It is not a weakly prime, because it can be changed into another prime (8747) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4370 + 4371.
It is an arithmetic number, because the mean of its divisors is an integer number (4371).
It is an amenable number.
8741 is a deficient number, since it is larger than the sum of its proper divisors (1).
8741 is an equidigital number, since it uses as much as digits as its factorization.
8741 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 8741 is about 93.4933152691.
The cubic root of 8741 is about 20.5993590148.
The spelling of 8741 in words is "eight thousand, seven hundred forty-one".