165006 has 24 divisors (see below), whose sum is σ = 365040. Its totient is φ = 53856.

The previous prime is 165001. The next prime is 165037. The reversal of 165006 is 600561.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 165006.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1551 + ... + 1653.

It is an arithmetic number, because the mean of its divisors is an integer number (15210).

2¹⁶⁵⁰⁰⁶ is an apocalyptic number.

165006 is an abundant number, since it is smaller than the sum of its proper divisors (200034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165006 is a wasteful number, since it uses less digits than its factorization.

165006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 165006 is about 406.2093056541. The cubic root of 165006 is about 54.8487303413.

Adding to 165006 its reverse (600561), we get a palindrome (765567).

The spelling of 165006 in words is "one hundred sixty-five thousand, six".