42208 has 12 divisors (see below), whose sum is σ = 83160. Its totient is φ = 21088.

The previous prime is 42197. The next prime is 42209. The reversal of 42208 is 80224.

It is a hoax number, since the sum of its digits (16) 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 42191 and 42200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42209) by changing a digit.

42208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628 + ... + 691.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2⁴²²⁰⁸ is an apocalyptic number.

It is an amenable number.

42208 is a deficient number, since it is larger than the sum of its proper divisors (40952).

42208 is a wasteful number, since it uses less digits than its factorization.

42208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42208 is about 205.4458566143. The cubic root of 42208 is about 34.8175540099.

Adding to 42208 its sum of digits (16), we get a palindrome (42224).

The spelling of 42208 in words is "forty-two thousand, two hundred eight".