185161 has 2 divisors, whose sum is σ = 185162. Its totient is φ = 185160.

The previous prime is 185153. The next prime is 185167. The reversal of 185161 is 161581.

185161 is digitally balanced in base 2, 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., 145161 + 40000 = 381^2 + 200^2 .

It is a cyclic number.

It is not a de Polignac number, because 185161 - 2³ = 185153 is a prime.

It is not a weakly prime, because it can be changed into another prime (185167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 92580 + 92581.

It is an arithmetic number, because the mean of its divisors is an integer number (92581).

2¹⁸⁵¹⁶¹ is an apocalyptic number.

It is an amenable number.

185161 is a deficient number, since it is larger than the sum of its proper divisors (1).

185161 is an equidigital number, since it uses as much as digits as its factorization.

185161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 22.

The square root of 185161 is about 430.3033813486. The cubic root of 185161 is about 56.9967167494.

The spelling of 185161 in words is "one hundred eighty-five thousand, one hundred sixty-one".