5204 has 6 divisors (see below), whose sum is σ = 9114. Its totient is φ = 2600.

The previous prime is 5197. The next prime is 5209. The reversal of 5204 is 4025.

5204 = T₃₂ + T₃₃ + ... + T₃₉.

It can be written as a sum of positive squares in only one way, i.e., 2704 + 2500 = 52^2 + 50^2 .

It is a fibodiv number, since the Fibonacci-like sequence with seeds 52 and 4 contains 5204 itself.

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 5204.

It is not an unprimeable number, because it can be changed into a prime (5209) by changing a digit.

5204 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 647 + ... + 654.

It is an arithmetic number, because the mean of its divisors is an integer number (1519).

It is an amenable number.

5204 is a deficient number, since it is larger than the sum of its proper divisors (3910).

5204 is a wasteful number, since it uses less digits than its factorization.

5204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 5204 is about 72.1387551875. The cubic root of 5204 is about 17.3292232201.

Adding to 5204 its reverse (4025), we get a palindrome (9229).

It can be divided in two parts, 520 and 4, that multiplied together give a triangular number (2080 = T₆₄).

The spelling of 5204 in words is "five thousand, two hundred four".