85933 has 2 divisors, whose sum is σ = 85934. Its totient is φ = 85932.

The previous prime is 85931. The next prime is 85991. The reversal of 85933 is 33958.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77284 + 8649 = 278^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 85933 - 2¹ = 85931 is a prime.

Together with 85931, it forms a pair of twin primes.

85933 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42966 + 42967.

It is an arithmetic number, because the mean of its divisors is an integer number (42967).

2⁸⁵⁹³³ is an apocalyptic number.

It is an amenable number.

85933 is a deficient number, since it is larger than the sum of its proper divisors (1).

85933 is an equidigital number, since it uses as much as digits as its factorization.

85933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240, while the sum is 28.

The square root of 85933 is about 293.1433096627. The cubic root of 85933 is about 44.1285839203.

Subtracting from 85933 its sum of digits (28), we obtain a triangular number (85905 = T₄₁₄).

The spelling of 85933 in words is "eighty-five thousand, nine hundred thirty-three".