165845601 has 12 divisors (see below), whose sum is σ = 239703828. Its totient is φ = 110494944.

The previous prime is 165845599. The next prime is 165845609. The reversal of 165845601 is 106548561.

165845601 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 45 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68310225 + 97535376 = 8265^2 + 9876^2 .

It is not a de Polignac number, because 165845601 - 2¹ = 165845599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165845609) 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 11 ways as a sum of consecutive naturals, for example, 12631 + ... + 22163.

It is an arithmetic number, because the mean of its divisors is an integer number (19975319).

Almost surely, 2^165845601 is an apocalyptic number.

It is an amenable number.

165845601 is a deficient number, since it is larger than the sum of its proper divisors (73858227).

165845601 is a wasteful number, since it uses less digits than its factorization.

165845601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11472 (or 11469 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 165845601 is about 12878.1054895509. The cubic root of 165845601 is about 549.4160203813.

The spelling of 165845601 in words is "one hundred sixty-five million, eight hundred forty-five thousand, six hundred one".