42804 has 36 divisors (see below), whose sum is σ = 114660. Its totient is φ = 13440.

The previous prime is 42797. The next prime is 42821. The reversal of 42804 is 40824.

42804 = 9³ + 10³ + ... + 20³.

It is a happy number.

42804 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 can be written as a sum of positive squares in 2 ways, for example, as 10404 + 32400 = 102^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1024 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (3185).

2⁴²⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57330).

42804 is an abundant number, since it is smaller than the sum of its proper divisors (71856).

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

42804 is a wasteful number, since it uses less digits than its factorization.

42804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42804 is about 206.8912757948. The cubic root of 42804 is about 34.9806695979.

The spelling of 42804 in words is "forty-two thousand, eight hundred four".