162008 has 32 divisors (see below), whose sum is σ = 380160. Its totient is φ = 62880.

The previous prime is 162007. The next prime is 162011. The reversal of 162008 is 800261.

162008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2¹⁶²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190080).

162008 is an abundant number, since it is smaller than the sum of its proper divisors (218152).

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

162008 is a wasteful number, since it uses less digits than its factorization.

162008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 162008 is about 402.5021739072. The cubic root of 162008 is about 54.5145151137.

Adding to 162008 its reverse (800261), we get a palindrome (962269).

It can be divided in two parts, 16200 and 8, that multiplied together give a square (129600 = 360²).

The spelling of 162008 in words is "one hundred sixty-two thousand, eight".