165800033 has 16 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 140539200.

The previous prime is 165800021. The next prime is 165800069. The reversal of 165800033 is 330008561.

It is a cyclic number.

It is not a de Polignac number, because 165800033 - 2⁴ = 165800017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 165799975 and 165800011.

It is not an unprimeable number, because it can be changed into a prime (165800083) 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 in 15 ways as a sum of consecutive naturals, for example, 359423 + ... + 359883.

It is an arithmetic number, because the mean of its divisors is an integer number (11975040).

Almost surely, 2^165800033 is an apocalyptic number.

It is an amenable number.

165800033 is a deficient number, since it is larger than the sum of its proper divisors (25800607).

165800033 is a wasteful number, since it uses less digits than its factorization.

165800033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 165800033 is about 12876.3361636764. The cubic root of 165800033 is about 549.3656963000.

Adding to 165800033 its reverse (330008561), we get a palindrome (495808594).

The spelling of 165800033 in words is "one hundred sixty-five million, eight hundred thousand, thirty-three".