804681 has 8 divisors (see below), whose sum is σ = 1192160. Its totient is φ = 536436.

The previous prime is 804653. The next prime is 804689. The reversal of 804681 is 186408.

It is not a de Polignac number, because 804681 - 2⁷ = 804553 is a prime.

It is a super-2 number, since 2×804681² = 1295023023522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 29803 = 804681 / (8 + 0 + 4 + 6 + 8 + 1).

It is a Duffinian number.

804681 is a lucky number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 804681.

It is not an unprimeable number, because it can be changed into a prime (804689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14875 + ... + 14928.

It is an arithmetic number, because the mean of its divisors is an integer number (149020).

2⁸⁰⁴⁶⁸¹ is an apocalyptic number.

It is an amenable number.

804681 is a deficient number, since it is larger than the sum of its proper divisors (387479).

804681 is a wasteful number, since it uses less digits than its factorization.

804681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29812 (or 29806 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 804681 is about 897.0401328815. The cubic root of 804681 is about 93.0124853165.

It can be divided in two parts, 804 and 681, that added together give a triangular number (1485 = T₅₄).

The spelling of 804681 in words is "eight hundred four thousand, six hundred eighty-one".