4204 has 6 divisors (see below), whose sum is σ = 7364. Its totient is φ = 2100.

The previous prime is 4201. The next prime is 4211. The reversal of 4204 is 4024.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 522 + ... + 529.

2⁴²⁰⁴ is an apocalyptic number.

It is an amenable number.

4204 is a deficient number, since it is larger than the sum of its proper divisors (3160).

4204 is a wasteful number, since it uses less digits than its factorization.

4204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4204 is about 64.8382603098. The cubic root of 4204 is about 16.1394068308.

Adding to 4204 its reverse (4024), we get a palindrome (8228).

It can be divided in two parts, 420 and 4, that added together give a palindrome (424).

The spelling of 4204 in words is "four thousand, two hundred four", and thus it is an iban number.