165331305 has 12 divisors (see below), whose sum is σ = 286574340. Its totient is φ = 88176672.

The previous prime is 165331261. The next prime is 165331321. The reversal of 165331305 is 503133561.

165331305 is a `hidden beast` number, since 1 + 653 + 3 + 1 + 3 + 0 + 5 = 666.

165331305 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 101123136 + 64208169 = 10056^2 + 8013^2 .

It is not a de Polignac number, because 165331305 - 2⁶ = 165331241 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1836970 + ... + 1837059.

It is an arithmetic number, because the mean of its divisors is an integer number (23881195).

Almost surely, 2^165331305 is an apocalyptic number.

165331305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165331305 is a deficient number, since it is larger than the sum of its proper divisors (121243035).

165331305 is a wasteful number, since it uses less digits than its factorization.

165331305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674040 (or 3674037 counting only the distinct ones).

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

The square root of 165331305 is about 12858.1221412771. The cubic root of 165331305 is about 548.8475095806.

Adding to 165331305 its reverse (503133561), we get a palindrome (668464866).

The spelling of 165331305 in words is "one hundred sixty-five million, three hundred thirty-one thousand, three hundred five".