165040161 has 48 divisors (see below), whose sum is σ = 263414592. Its totient is φ = 91104000.

The previous prime is 165040159. The next prime is 165040163. The reversal of 165040161 is 161040561.

It is an interprime number because it is at equal distance from previous prime (165040159) and next prime (165040163).

It is not a de Polignac number, because 165040161 - 2¹ = 165040159 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165040163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563131 + ... + 563423.

It is an arithmetic number, because the mean of its divisors is an integer number (5487804).

Almost surely, 2^165040161 is an apocalyptic number.

165040161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

165040161 is a deficient number, since it is larger than the sum of its proper divisors (98374431).

165040161 is a wasteful number, since it uses less digits than its factorization.

165040161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 165040161 is about 12846.7957483569. The cubic root of 165040161 is about 548.5251516971.

The spelling of 165040161 in words is "one hundred sixty-five million, forty thousand, one hundred sixty-one".