85005053 has 6 divisors (see below), whose sum is σ = 98883486. Its totient is φ = 72861432.

The previous prime is 85005001. The next prime is 85005059. The reversal of 85005053 is 35050058.

It can be written as a sum of positive squares in only one way, i.e., 83960569 + 1044484 = 9163^2 + 1022^2 .

It is not a de Polignac number, because 85005053 - 2¹⁴ = 84988669 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 (85005059) 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 5 ways as a sum of consecutive naturals, for example, 867350 + ... + 867447.

It is an arithmetic number, because the mean of its divisors is an integer number (16480581).

Almost surely, 2^85005053 is an apocalyptic number.

It is an amenable number.

85005053 is a deficient number, since it is larger than the sum of its proper divisors (13878433).

85005053 is a wasteful number, since it uses less digits than its factorization.

85005053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734811 (or 1734804 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 85005053 is about 9219.8184906212. The cubic root of 85005053 is about 439.6916796629.

The spelling of 85005053 in words is "eighty-five million, five thousand, fifty-three".