208002 has 8 divisors (see below), whose sum is σ = 416016. Its totient is φ = 69332.

The previous prime is 208001. The next prime is 208003. The reversal of 208002 is 200802.

208002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208001) and next prime (208003).

It is a sphenic number, since it is the product of 3 distinct primes.

208002 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (208001) 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 3 ways as a sum of consecutive naturals, for example, 17328 + ... + 17339.

It is an arithmetic number, because the mean of its divisors is an integer number (52002).

2²⁰⁸⁰⁰² is an apocalyptic number.

208002 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

208002 is a wasteful number, since it uses less digits than its factorization.

208002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34672.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 208002 is about 456.0723626794. The cubic root of 208002 is about 59.2501112711.

Adding to 208002 its reverse (200802), we get a palindrome (408804).

It can be divided in two parts, 20800 and 2, that added together give a palindrome (20802).

The spelling of 208002 in words is "two hundred eight thousand, two".