800041 has 8 divisors (see below), whose sum is σ = 879264. Its totient is φ = 721920.

The previous prime is 800029. The next prime is 800053. The reversal of 800041 is 140008.

It is an interprime number because it is at equal distance from previous prime (800029) and next prime (800053).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 800041 - 2⁹ = 799529 is a prime.

It is a Duffinian number.

800041 is a modest number, since divided by 41 gives 8 as remainder.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 799994 and 800030.

It is not an unprimeable number, because it can be changed into a prime (800011) 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, 2686 + ... + 2968.

It is an arithmetic number, because the mean of its divisors is an integer number (109908).

2⁸⁰⁰⁰⁴¹ is an apocalyptic number.

800041 is the 566-th heptagonal number.

It is an amenable number.

800041 is a deficient number, since it is larger than the sum of its proper divisors (79223).

800041 is a wasteful number, since it uses less digits than its factorization.

800041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 800041 is about 894.4501104030. The cubic root of 800041 is about 92.8333625213.

Adding to 800041 its reverse (140008), we get a palindrome (940049).

The spelling of 800041 in words is "eight hundred thousand, forty-one".