165188041 has 2 divisors, whose sum is σ = 165188042. Its totient is φ = 165188040.

The previous prime is 165188029. The next prime is 165188059. The reversal of 165188041 is 140881561.

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., 164378041 + 810000 = 12821^2 + 900^2 .

It is a cyclic number.

It is not a de Polignac number, because 165188041 - 2¹⁹ = 164663753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165187988 and 165188006.

It is not a weakly prime, because it can be changed into another prime (165188081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82594020 + 82594021.

It is an arithmetic number, because the mean of its divisors is an integer number (82594021).

Almost surely, 2^165188041 is an apocalyptic number.

It is an amenable number.

165188041 is a deficient number, since it is larger than the sum of its proper divisors (1).

165188041 is an equidigital number, since it uses as much as digits as its factorization.

165188041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 165188041 is about 12852.5499804514. The cubic root of 165188041 is about 548.6889334169.

The spelling of 165188041 in words is "one hundred sixty-five million, one hundred eighty-eight thousand, forty-one".