165041 has 2 divisors, whose sum is σ = 165042. Its totient is φ = 165040.

The previous prime is 165037. The next prime is 165047. The reversal of 165041 is 140561.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 5041 = 400^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 165041 - 2² = 165037 is a prime.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (165047) 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, 82520 + 82521.

It is an arithmetic number, because the mean of its divisors is an integer number (82521).

2¹⁶⁵⁰⁴¹ is an apocalyptic number.

It is an amenable number.

165041 is a deficient number, since it is larger than the sum of its proper divisors (1).

165041 is an equidigital number, since it uses as much as digits as its factorization.

165041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 165041 is about 406.2523846084. The cubic root of 165041 is about 54.8526081192.

It can be divided in two parts, 16 and 5041, that multiplied together give a square (80656 = 284²).

The spelling of 165041 in words is "one hundred sixty-five thousand, forty-one".