801009 has 40 divisors (see below), whose sum is σ = 1393920. Its totient is φ = 453600.

The previous prime is 801007. The next prime is 801011. The reversal of 801009 is 900108.

801009 = 16³ + 17³ + ... + 42³.

801009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (801007) and next prime (801011).

It is not a de Polignac number, because 801009 - 2¹ = 801007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 800982 and 801000.

It is not an unprimeable number, because it can be changed into a prime (801001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25824 + ... + 25854.

It is an arithmetic number, because the mean of its divisors is an integer number (34848).

2⁸⁰¹⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

801009 is a deficient number, since it is larger than the sum of its proper divisors (592911).

801009 is a wasteful number, since it uses less digits than its factorization.

801009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 801009 is about 894.9910614079. The cubic root of 801009 is about 92.8707883018.

Subtracting 801009 from its reverse (900108), we obtain a palindrome (99099).

It can be divided in two parts, 80 and 1009, that added together give a square (1089 = 33²).

The spelling of 801009 in words is "eight hundred one thousand, nine".