165333105 has 72 divisors (see below), whose sum is σ = 337237992. Its totient is φ = 74704896.

The previous prime is 165333097. The next prime is 165333121. The reversal of 165333105 is 501333561.

165333105 is a `hidden beast` number, since 1 + 653 + 3 + 3 + 1 + 0 + 5 = 666.

165333105 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 4 ways, for example, as 159201 + 165173904 = 399^2 + 12852^2 .

It is not a de Polignac number, because 165333105 - 2³ = 165333097 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 213499 + ... + 214271.

It is an arithmetic number, because the mean of its divisors is an integer number (4683861).

Almost surely, 2^165333105 is an apocalyptic number.

165333105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165333105 is an abundant number, since it is smaller than the sum of its proper divisors (171904887).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165333105 is a wasteful number, since it uses less digits than its factorization.

165333105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 165333105 is about 12858.1921357553. The cubic root of 165333105 is about 548.8495013831.

Adding to 165333105 its reverse (501333561), we get a palindrome (666666666).

The spelling of 165333105 in words is "one hundred sixty-five million, three hundred thirty-three thousand, one hundred five".