165008 has 10 divisors (see below), whose sum is σ = 319734. Its totient is φ = 82496.

The previous prime is 165001. The next prime is 165037. The reversal of 165008 is 800561.

It can be written as a sum of positive squares in only one way, i.e., 135424 + 29584 = 368^2 + 172^2 .

It is not an unprimeable number, because it can be changed into a prime (165001) by changing a digit.

165008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5141 + ... + 5172.

2¹⁶⁵⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

165008 is a deficient number, since it is larger than the sum of its proper divisors (154726).

165008 is a wasteful number, since it uses less digits than its factorization.

165008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10321 (or 10315 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 165008 is about 406.2117674317. The cubic root of 165008 is about 54.8489519434.

Adding to 165008 its reverse (800561), we get a palindrome (965569).

The spelling of 165008 in words is "one hundred sixty-five thousand, eight".