804357 has 16 divisors (see below), whose sum is σ = 1231360. Its totient is φ = 518940.

The previous prime is 804341. The next prime is 804367. The reversal of 804357 is 753408.

The cubic root of 804357 is 93.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 804357 - 2⁴ = 804341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

804357 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 804357.

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 804357.

It is not an unprimeable number, because it can be changed into a prime (804317) 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 15 ways as a sum of consecutive naturals, for example, 25932 + ... + 25962.

It is an arithmetic number, because the mean of its divisors is an integer number (76960).

804357 is a Friedman number, since it can be written as (5+8*(7+4))^(3+0), using all its digits and the basic arithmetic operations.

2⁸⁰⁴³⁵⁷ is an apocalyptic number.

It is an amenable number.

804357 is a deficient number, since it is larger than the sum of its proper divisors (427003).

804357 is an frugal number, since it uses more digits than its factorization.

804357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 804357 is about 896.8595207723.

Multiplying 804357 by its sum of digits (27), we get a cube (21717639 = 279³).

804357 divided by its sum of digits (27) gives a cube (29791 = 31³).

It can be divided in two parts, 8043 and 57, that added together give a square (8100 = 90²).

The spelling of 804357 in words is "eight hundred four thousand, three hundred fifty-seven".