800541 has 24 divisors (see below), whose sum is σ = 1345344. Its totient is φ = 449280.

The previous prime is 800539. The next prime is 800549. The reversal of 800541 is 145008.

It is not a de Polignac number, because 800541 - 2¹ = 800539 is a prime.

800541 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6046 + ... + 6176.

It is an arithmetic number, because the mean of its divisors is an integer number (56056).

2⁸⁰⁰⁵⁴¹ is an apocalyptic number.

It is an amenable number.

800541 is a deficient number, since it is larger than the sum of its proper divisors (544803).

800541 is a wasteful number, since it uses less digits than its factorization.

800541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 800541 is about 894.7295680819. The cubic root of 800541 is about 92.8526977867.

Adding to 800541 its reverse (145008), we get a palindrome (945549).

The spelling of 800541 in words is "eight hundred thousand, five hundred forty-one".