165362641 has 2 divisors, whose sum is σ = 165362642. Its totient is φ = 165362640.

The previous prime is 165362609. The next prime is 165362647. The reversal of 165362641 is 146263561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153140625 + 12222016 = 12375^2 + 3496^2 .

It is an emirp because it is prime and its reverse (146263561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165362641 - 2⁵ = 165362609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165362597 and 165362606.

It is not a weakly prime, because it can be changed into another prime (165362647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82681320 + 82681321.

It is an arithmetic number, because the mean of its divisors is an integer number (82681321).

Almost surely, 2^165362641 is an apocalyptic number.

It is an amenable number.

165362641 is a deficient number, since it is larger than the sum of its proper divisors (1).

165362641 is an equidigital number, since it uses as much as digits as its factorization.

165362641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 34.

The square root of 165362641 is about 12859.3406129552. The cubic root of 165362641 is about 548.8821825848.

The spelling of 165362641 in words is "one hundred sixty-five million, three hundred sixty-two thousand, six hundred forty-one".