165207933 has 24 divisors (see below), whose sum is σ = 261720576. Its totient is φ = 99590400.

The previous prime is 165207877. The next prime is 165207953. The reversal of 165207933 is 339702561.

It is not a de Polignac number, because 165207933 - 2¹² = 165203837 is a prime.

It is a super-2 number, since 2×165207933² = 54587322252264978, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165207953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14541 + ... + 23277.

It is an arithmetic number, because the mean of its divisors is an integer number (10905024).

Almost surely, 2^165207933 is an apocalyptic number.

It is an amenable number.

165207933 is a deficient number, since it is larger than the sum of its proper divisors (96512643).

165207933 is a wasteful number, since it uses less digits than its factorization.

165207933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8945 (or 8942 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 165207933 is about 12853.3238113727. The cubic root of 165207933 is about 548.7109569688.

The spelling of 165207933 in words is "one hundred sixty-five million, two hundred seven thousand, nine hundred thirty-three".