165840093 has 12 divisors (see below), whose sum is σ = 240137820. Its totient is φ = 110287296.

The previous prime is 165840089. The next prime is 165840131. The reversal of 165840093 is 390048561.

165840093 is a `hidden beast` number, since 165 + 8 + 400 + 93 = 666.

165840093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 135070884 + 30769209 = 11622^2 + 5547^2 .

It is not a de Polignac number, because 165840093 - 2² = 165840089 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165847093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18846 + ... + 26207.

It is an arithmetic number, because the mean of its divisors is an integer number (20011485).

Almost surely, 2^165840093 is an apocalyptic number.

It is an amenable number.

165840093 is a deficient number, since it is larger than the sum of its proper divisors (74297727).

165840093 is a wasteful number, since it uses less digits than its factorization.

165840093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45468 (or 45465 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 165840093 is about 12877.8916364442. The cubic root of 165840093 is about 549.4099379831.

The spelling of 165840093 in words is "one hundred sixty-five million, eight hundred forty thousand, ninety-three".