165345201 has 48 divisors (see below), whose sum is σ = 293529600. Its totient is φ = 87575904.

The previous prime is 165345161. The next prime is 165345209. The reversal of 165345201 is 102543561.

165345201 = T₃₅₄ + T₃₅₅ + ... + T₁₀₁₁.

165345201 is a `hidden beast` number, since 1 + 653 + 4 + 5 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 165345201 - 2¹⁰ = 165344177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165345209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54790 + ... + 57728.

It is an arithmetic number, because the mean of its divisors is an integer number (6115200).

Almost surely, 2^165345201 is an apocalyptic number.

It is an amenable number.

165345201 is a deficient number, since it is larger than the sum of its proper divisors (128184399).

165345201 is a wasteful number, since it uses less digits than its factorization.

165345201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 165345201 is about 12858.6624887661. The cubic root of 165345201 is about 548.8628859211.

Adding to 165345201 its reverse (102543561), we get a palindrome (267888762).

The spelling of 165345201 in words is "one hundred sixty-five million, three hundred forty-five thousand, two hundred one".