806188041 has 12 divisors (see below), whose sum is σ = 1167025860. Its totient is φ = 536290080.

The previous prime is 806188027. The next prime is 806188051. The reversal of 806188041 is 140881608.

It can be written as a sum of positive squares in 2 ways, for example, as 466560000 + 339628041 = 21600^2 + 18429^2 .

It is not a de Polignac number, because 806188041 - 2¹³ = 806179849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 806187987 and 806188005.

It is not an unprimeable number, because it can be changed into a prime (806188001) 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 11 ways as a sum of consecutive naturals, for example, 93006 + ... + 101303.

It is an arithmetic number, because the mean of its divisors is an integer number (97252155).

Almost surely, 2^806188041 is an apocalyptic number.

It is an amenable number.

806188041 is a deficient number, since it is larger than the sum of its proper divisors (360837819).

806188041 is a wasteful number, since it uses less digits than its factorization.

806188041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194776 (or 194773 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 806188041 is about 28393.4506708854. The cubic root of 806188041 is about 930.7051502519.

The spelling of 806188041 in words is "eight hundred six million, one hundred eighty-eight thousand, forty-one".