165306645 has 72 divisors (see below), whose sum is σ = 339051960. Its totient is φ = 74269440.

The previous prime is 165306643. The next prime is 165306649. The reversal of 165306645 is 546603561.

165306645 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 0 + 6 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20007729 + 145298916 = 4473^2 + 12054^2 .

It is not a de Polignac number, because 165306645 - 2¹ = 165306643 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165306643) 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 71 ways as a sum of consecutive naturals, for example, 133891 + ... + 135119.

It is an arithmetic number, because the mean of its divisors is an integer number (4709055).

Almost surely, 2^165306645 is an apocalyptic number.

165306645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165306645 is an abundant number, since it is smaller than the sum of its proper divisors (173745315).

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

165306645 is a wasteful number, since it uses less digits than its factorization.

165306645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 165306645 is about 12857.1631785554. The cubic root of 165306645 is about 548.8202204302.

The spelling of 165306645 in words is "one hundred sixty-five million, three hundred six thousand, six hundred forty-five".