85959181 has 24 divisors (see below), whose sum is σ = 110233440. Its totient is φ = 66276000.

The previous prime is 85959149. The next prime is 85959197. The reversal of 85959181 is 18195958.

It is not a de Polignac number, because 85959181 - 2⁵ = 85959149 is a prime.

It is a super-2 number, since 2×85959181² = 14777961596381522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85959101) 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 in 23 ways as a sum of consecutive naturals, for example, 53650 + ... + 55228.

It is an arithmetic number, because the mean of its divisors is an integer number (4593060).

Almost surely, 2^85959181 is an apocalyptic number.

It is an amenable number.

85959181 is a deficient number, since it is larger than the sum of its proper divisors (24274259).

85959181 is a wasteful number, since it uses less digits than its factorization.

85959181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1698 counting only the distinct ones).

The product of its digits is 129600, while the sum is 46.

The square root of 85959181 is about 9271.4174213008. The cubic root of 85959181 is about 441.3306498170.

The spelling of 85959181 in words is "eighty-five million, nine hundred fifty-nine thousand, one hundred eighty-one".