10085033 has 6 divisors (see below), whose sum is σ = 11731626. Its totient is φ = 8644272.

The previous prime is 10085027. The next prime is 10085051. The reversal of 10085033 is 33058001.

10085033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8479744 + 1605289 = 2912^2 + 1267^2 .

It is not a de Polignac number, because 10085033 - 2¹² = 10080937 is a prime.

It is a super-2 number, since 2×10085033² = 203415781222178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10084996 and 10085014.

It is not an unprimeable number, because it can be changed into a prime (10085093) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102860 + ... + 102957.

It is an arithmetic number, because the mean of its divisors is an integer number (1955271).

Almost surely, 2^10085033 is an apocalyptic number.

It is an amenable number.

10085033 is a deficient number, since it is larger than the sum of its proper divisors (1646593).

10085033 is an equidigital number, since it uses as much as digits as its factorization.

10085033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205831 (or 205824 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 10085033 is about 3175.6940973589. The cubic root of 10085033 is about 216.0524064084.

The spelling of 10085033 in words is "ten million, eighty-five thousand, thirty-three".