85749841 has 2 divisors, whose sum is σ = 85749842. Its totient is φ = 85749840.

The previous prime is 85749823. The next prime is 85749847. The reversal of 85749841 is 14894758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53714241 + 32035600 = 7329^2 + 5660^2 .

It is a cyclic number.

It is not a de Polignac number, because 85749841 - 2²¹ = 83652689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85749791 and 85749800.

It is not a weakly prime, because it can be changed into another prime (85749847) 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 as a sum of consecutive naturals, namely, 42874920 + 42874921.

It is an arithmetic number, because the mean of its divisors is an integer number (42874921).

Almost surely, 2^85749841 is an apocalyptic number.

It is an amenable number.

85749841 is a deficient number, since it is larger than the sum of its proper divisors (1).

85749841 is an equidigital number, since it uses as much as digits as its factorization.

85749841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 322560, while the sum is 46.

The square root of 85749841 is about 9260.1210035291. The cubic root of 85749841 is about 440.9720949087.

The spelling of 85749841 in words is "eighty-five million, seven hundred forty-nine thousand, eight hundred forty-one".