165956033 has 2 divisors, whose sum is σ = 165956034. Its totient is φ = 165956032.

The previous prime is 165956003. The next prime is 165956059. The reversal of 165956033 is 330659561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107081104 + 58874929 = 10348^2 + 7673^2 .

It is a cyclic number.

It is not a de Polignac number, because 165956033 - 2¹⁴ = 165939649 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (165956003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82978016 + 82978017.

It is an arithmetic number, because the mean of its divisors is an integer number (82978017).

Almost surely, 2^165956033 is an apocalyptic number.

It is an amenable number.

165956033 is a deficient number, since it is larger than the sum of its proper divisors (1).

165956033 is an equidigital number, since it uses as much as digits as its factorization.

165956033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72900, while the sum is 38.

The square root of 165956033 is about 12882.3923632220. The cubic root of 165956033 is about 549.5379403031.

The spelling of 165956033 in words is "one hundred sixty-five million, nine hundred fifty-six thousand, thirty-three".