385100333 has 2 divisors, whose sum is σ = 385100334. Its totient is φ = 385100332.

The previous prime is 385100299. The next prime is 385100357. The reversal of 385100333 is 333001583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250493929 + 134606404 = 15827^2 + 11602^2 .

It is a cyclic number.

It is not a de Polignac number, because 385100333 - 2¹⁸ = 384838189 is a prime.

It is a super-3 number, since 3×385100333³ (a number of 27 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385100363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192550166 + 192550167.

It is an arithmetic number, because the mean of its divisors is an integer number (192550167).

Almost surely, 2^385100333 is an apocalyptic number.

It is an amenable number.

385100333 is a deficient number, since it is larger than the sum of its proper divisors (1).

385100333 is an equidigital number, since it uses as much as digits as its factorization.

385100333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 385100333 is about 19623.9734253795. The cubic root of 385100333 is about 727.5418242941.

The spelling of 385100333 in words is "three hundred eighty-five million, one hundred thousand, three hundred thirty-three".