51804 has 18 divisors (see below), whose sum is σ = 131040. Its totient is φ = 17256.

The previous prime is 51803. The next prime is 51817. The reversal of 51804 is 40815.

51804 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 684 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2⁵¹⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

51804 is an abundant number, since it is smaller than the sum of its proper divisors (79236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51804 is a wasteful number, since it uses less digits than its factorization.

51804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51804 is about 227.6049208607. The cubic root of 51804 is about 37.2781568713.

It can be divided in two parts, 5180 and 4, that added together give a square (5184 = 72²).

The spelling of 51804 in words is "fifty-one thousand, eight hundred four".