85333 has 2 divisors, whose sum is σ = 85334. Its totient is φ = 85332.

The previous prime is 85331. The next prime is 85361. The reversal of 85333 is 33358.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 18769 = 258^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 85333 - 2¹ = 85331 is a prime.

Together with 85331, it forms a pair of twin primes.

85333 is a modest number, since divided by 333 gives 85 as remainder.

85333 is a lucky number.

It is a nialpdrome in base 10.

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42666 + 42667.

It is an arithmetic number, because the mean of its divisors is an integer number (42667).

2⁸⁵³³³ is an apocalyptic number.

It is an amenable number.

85333 is a deficient number, since it is larger than the sum of its proper divisors (1).

85333 is an equidigital number, since it uses as much as digits as its factorization.

85333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 22.

The square root of 85333 is about 292.1181267912. The cubic root of 85333 is about 44.0256393267.

The spelling of 85333 in words is "eighty-five thousand, three hundred thirty-three".