85433085 has 48 divisors (see below), whose sum is σ = 152693424. Its totient is φ = 44169216.

The previous prime is 85433083. The next prime is 85433113. The reversal of 85433085 is 58033458.

85433085 is a `hidden beast` number, since 8 + 543 + 30 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23794884 + 61638201 = 4878^2 + 7851^2 .

It is not a de Polignac number, because 85433085 - 2¹ = 85433083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85433081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269347 + ... + 269663.

It is an arithmetic number, because the mean of its divisors is an integer number (3181113).

Almost surely, 2^85433085 is an apocalyptic number.

It is an amenable number.

85433085 is a deficient number, since it is larger than the sum of its proper divisors (67260339).

85433085 is a wasteful number, since it uses less digits than its factorization.

85433085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 85433085 is about 9243.0019474195. The cubic root of 85433085 is about 440.4284480234.

Subtracting from 85433085 its sum of digits (36), we obtain a square (85433049 = 9243²).

It can be divided in two parts, 8543 and 3085, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 85433085 in words is "eighty-five million, four hundred thirty-three thousand, eighty-five".