985133333 has 2 divisors, whose sum is σ = 985133334. Its totient is φ = 985133332.

The previous prime is 985133327. The next prime is 985133339. The reversal of 985133333 is 333331589.

It is a balanced prime because it is at equal distance from previous prime (985133327) and next prime (985133339).

It can be written as a sum of positive squares in only one way, i.e., 806162449 + 178970884 = 28393^2 + 13378^2 .

It is an emirp because it is prime and its reverse (333331589) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 985133333 - 2⁶ = 985133269 is a prime.

It is a Sophie Germain prime.

985133333 is a modest number, since divided by 33333 gives 9851 as remainder.

It is a Curzon number.

It is equal to p_50129687 and since 985133333 and 50129687 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (985133339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 492566666 + 492566667.

It is an arithmetic number, because the mean of its divisors is an integer number (492566667).

Almost surely, 2^985133333 is an apocalyptic number.

It is an amenable number.

985133333 is a deficient number, since it is larger than the sum of its proper divisors (1).

985133333 is an equidigital number, since it uses as much as digits as its factorization.

985133333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 87480, while the sum is 38.

The square root of 985133333 is about 31386.8337523873. The cubic root of 985133333 is about 995.0196819419.

The spelling of 985133333 in words is "nine hundred eighty-five million, one hundred thirty-three thousand, three hundred thirty-three".