8761 has 2 divisors, whose sum is σ = 8762. Its totient is φ = 8760.

The previous prime is 8753. The next prime is 8779. The reversal of 8761 is 1678.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5625 + 3136 = 75^2 + 56^2 .

It is a cyclic number.

It is not a de Polignac number, because 8761 - 2³ = 8753 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (8731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4380 + 4381.

It is an arithmetic number, because the mean of its divisors is an integer number (4381).

It is an amenable number.

8761 is a deficient number, since it is larger than the sum of its proper divisors (1).

8761 is an equidigital number, since it uses as much as digits as its factorization.

8761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 336, while the sum is 22.

The square root of 8761 is about 93.6002136750. The cubic root of 8761 is about 20.6150579570.

The spelling of 8761 in words is "eight thousand, seven hundred sixty-one".