165941 has 2 divisors, whose sum is σ = 165942. Its totient is φ = 165940.

The previous prime is 165931. The next prime is 165947. The reversal of 165941 is 149561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119716 + 46225 = 346^2 + 215^2 .

It is an emirp because it is prime and its reverse (149561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165941 - 2⁶ = 165877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 165941.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165947) 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, 82970 + 82971.

It is an arithmetic number, because the mean of its divisors is an integer number (82971).

2¹⁶⁵⁹⁴¹ is an apocalyptic number.

It is an amenable number.

165941 is a deficient number, since it is larger than the sum of its proper divisors (1).

165941 is an equidigital number, since it uses as much as digits as its factorization.

165941 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 26.

The square root of 165941 is about 407.3585644122. The cubic root of 165941 is about 54.9521346644.

The spelling of 165941 in words is "one hundred sixty-five thousand, nine hundred forty-one".