208842 has 8 divisors (see below), whose sum is σ = 417696. Its totient is φ = 69612.

The previous prime is 208837. The next prime is 208843. The reversal of 208842 is 248802.

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

208842 is an admirable number.

It is a super-2 number, since 2×208842² = 87229961928, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (208843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17398 + ... + 17409.

It is an arithmetic number, because the mean of its divisors is an integer number (52212).

2²⁰⁸⁸⁴² is an apocalyptic number.

208842 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.

208842 is a wasteful number, since it uses less digits than its factorization.

208842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34812.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 208842 is about 456.9923412925. The cubic root of 208842 is about 59.3297631428.

The spelling of 208842 in words is "two hundred eight thousand, eight hundred forty-two".