8161 has 2 divisors, whose sum is σ = 8162. Its totient is φ = 8160.

The previous prime is 8147. The next prime is 8167. The reversal of 8161 is 1618.

8161 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6561 + 1600 = 81^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 8161 - 2⁹ = 7649 is a prime.

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

8161 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (8167) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4080 + 4081.

It is an arithmetic number, because the mean of its divisors is an integer number (4081).

2⁸¹⁶¹ is an apocalyptic number.

It is an amenable number.

8161 is a deficient number, since it is larger than the sum of its proper divisors (1).

8161 is an equidigital number, since it uses as much as digits as its factorization.

8161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 16.

The square root of 8161 is about 90.3382532486. The cubic root of 8161 is about 20.1332765618.

Adding to 8161 its reverse (1618), we get a palindrome (9779).

It can be divided in two parts, 8 and 161, that added together give a square (169 = 13²).

The spelling of 8161 in words is "eight thousand, one hundred sixty-one".