208242 has 24 divisors (see below), whose sum is σ = 471744. Its totient is φ = 66264.

The previous prime is 208231. The next prime is 208253. The reversal of 208242 is 242802.

208242 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 (208231) and next prime (208253).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2²⁰⁸²⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872).

208242 is an abundant number, since it is smaller than the sum of its proper divisors (263502).

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

208242 is a wasteful number, since it uses less digits than its factorization.

208242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 208242 is about 456.3354029658. The cubic root of 208242 is about 59.2728907973.

The spelling of 208242 in words is "two hundred eight thousand, two hundred forty-two".