85005033 has 16 divisors (see below), whose sum is σ = 119132160. Its totient is φ = 53810064.

The previous prime is 85005001. The next prime is 85005059. The reversal of 85005033 is 33050058.

It is not a de Polignac number, because 85005033 - 2⁵ = 85005001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85004994 and 85005012.

It is not an unprimeable number, because it can be changed into a prime (85005133) 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 in 15 ways as a sum of consecutive naturals, for example, 5160 + ... + 14022.

It is an arithmetic number, because the mean of its divisors is an integer number (7445760).

Almost surely, 2^85005033 is an apocalyptic number.

It is an amenable number.

85005033 is a deficient number, since it is larger than the sum of its proper divisors (34127127).

85005033 is a wasteful number, since it uses less digits than its factorization.

85005033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9028.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 85005033 is about 9219.8174060011. The cubic root of 85005033 is about 439.6916451793.

The spelling of 85005033 in words is "eighty-five million, five thousand, thirty-three".