52004 has 6 divisors (see below), whose sum is σ = 91014. Its totient is φ = 26000.

The previous prime is 51991. The next prime is 52009. The reversal of 52004 is 40025.

52004 = T₁₁₀ + T₁₁₁ + ... + T₁₁₇.

It can be written as a sum of positive squares in only one way, i.e., 28900 + 23104 = 170^2 + 152^2 .

It is a pancake number, because a pancake can be divided into 52004 parts by 322 straight cuts.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52004.

It is not an unprimeable number, because it can be changed into a prime (52009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6497 + ... + 6504.

It is an arithmetic number, because the mean of its divisors is an integer number (15169).

2⁵²⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

52004 is a deficient number, since it is larger than the sum of its proper divisors (39010).

52004 is a wasteful number, since it uses less digits than its factorization.

52004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005 (or 13003 counting only the distinct ones).

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

The square root of 52004 is about 228.0438554314. The cubic root of 52004 is about 37.3260685978.

Adding to 52004 its reverse (40025), we get a palindrome (92029).

The spelling of 52004 in words is "fifty-two thousand, four", and thus it is an eban number.