85800041 has 2 divisors, whose sum is σ = 85800042. Its totient is φ = 85800040.

The previous prime is 85800031. The next prime is 85800047. The reversal of 85800041 is 14000858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85747600 + 52441 = 9260^2 + 229^2 .

It is a cyclic number.

It is not a de Polignac number, because 85800041 - 2¹⁴ = 85783657 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (85800047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42900020 + 42900021.

It is an arithmetic number, because the mean of its divisors is an integer number (42900021).

Almost surely, 2^85800041 is an apocalyptic number.

It is an amenable number.

85800041 is a deficient number, since it is larger than the sum of its proper divisors (1).

85800041 is an equidigital number, since it uses as much as digits as its factorization.

85800041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 85800041 is about 9262.8311546740. The cubic root of 85800041 is about 441.0581299789.

Adding to 85800041 its reverse (14000858), we get a palindrome (99800899).

The spelling of 85800041 in words is "eighty-five million, eight hundred thousand, forty-one".