165416017 has 12 divisors (see below), whose sum is σ = 183495564. Its totient is φ = 148961280.

The previous prime is 165415993. The next prime is 165416039. The reversal of 165416017 is 710614561.

It can be written as a sum of positive squares in 6 ways, for example, as 99221521 + 66194496 = 9961^2 + 8136^2 .

It is a de Polignac number, because none of the positive numbers 2^k-165416017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 165416017.

It is not an unprimeable number, because it can be changed into a prime (165416057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5008 + ... + 18865.

It is an arithmetic number, because the mean of its divisors is an integer number (15291297).

Almost surely, 2^165416017 is an apocalyptic number.

It is an amenable number.

165416017 is a deficient number, since it is larger than the sum of its proper divisors (18079547).

165416017 is a wasteful number, since it uses less digits than its factorization.

165416017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23940 (or 23927 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 165416017 is about 12861.4158240841. The cubic root of 165416017 is about 548.9412325685.

It can be divided in two parts, 1654 and 16017, that added together give a palindrome (17671).

The spelling of 165416017 in words is "one hundred sixty-five million, four hundred sixteen thousand, seventeen".