8085733 has 12 divisors (see below), whose sum is σ = 8579844. Its totient is φ = 7612800.

The previous prime is 8085691. The next prime is 8085743. The reversal of 8085733 is 3375808.

It can be written as a sum of positive squares in 6 ways, for example, as 3932289 + 4153444 = 1983^2 + 2038^2 .

It is not a de Polignac number, because 8085733 - 2¹³ = 8077541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8085743) 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 11 ways as a sum of consecutive naturals, for example, 132523 + ... + 132583.

It is an arithmetic number, because the mean of its divisors is an integer number (714987).

Almost surely, 2^8085733 is an apocalyptic number.

It is an amenable number.

8085733 is a deficient number, since it is larger than the sum of its proper divisors (494111).

8085733 is an equidigital number, since it uses as much as digits as its factorization.

8085733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 8085733 is about 2843.5423330768. The cubic root of 8085733 is about 200.7119046191.

The spelling of 8085733 in words is "eight million, eighty-five thousand, seven hundred thirty-three".