9161 has 2 divisors, whose sum is σ = 9162. Its totient is φ = 9160.

The previous prime is 9157. The next prime is 9173. The reversal of 9161 is 1619.

9161 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7225 + 1936 = 85^2 + 44^2 .

It is an emirp because it is prime and its reverse (1619) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9161 - 2² = 9157 is a prime.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 9 and 161 contains 9161 itself.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (9151) 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, 4580 + 4581.

It is an arithmetic number, because the mean of its divisors is an integer number (4581).

2⁹¹⁶¹ is an apocalyptic number.

It is an amenable number.

9161 is a deficient number, since it is larger than the sum of its proper divisors (1).

9161 is an equidigital number, since it uses as much as digits as its factorization.

9161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 17.

The square root of 9161 is about 95.7131129992. The cubic root of 9161 is about 20.9241405086.

The spelling of 9161 in words is "nine thousand, one hundred sixty-one".