4208 has 10 divisors (see below), whose sum is σ = 8184. Its totient is φ = 2096.

The previous prime is 4201. The next prime is 4211. The reversal of 4208 is 8024.

It is a junction number, because it is equal to n+sod(n) for n = 4192 and 4201.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4208.

It is not an unprimeable number, because it can be changed into a prime (4201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116 + ... + 147.

2⁴²⁰⁸ is an apocalyptic number.

It is an amenable number.

4208 is a deficient number, since it is larger than the sum of its proper divisors (3976).

4208 is a wasteful number, since it uses less digits than its factorization.

4208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4208 is about 64.8690989609. The cubic root of 4208 is about 16.1445239544.

It can be divided in two parts, 4 and 208, that added together give a palindrome (212).

The spelling of 4208 in words is "four thousand, two hundred eight".