52804 has 12 divisors (see below), whose sum is σ = 94864. Its totient is φ = 25704.

The previous prime is 52783. The next prime is 52807. The reversal of 52804 is 40825.

It is a happy number.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (52807) 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 in 3 ways as a sum of consecutive naturals, for example, 19 + ... + 325.

2⁵²⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

52804 is a deficient number, since it is larger than the sum of its proper divisors (42060).

52804 is a wasteful number, since it uses less digits than its factorization.

52804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 52804 is about 229.7912095795. The cubic root of 52804 is about 37.5164964458.

It can be divided in two parts, 5 and 2804, that added together give a square (2809 = 53²).

The spelling of 52804 in words is "fifty-two thousand, eight hundred four".