85733 has 2 divisors, whose sum is σ = 85734. Its totient is φ = 85732.

The previous prime is 85717. The next prime is 85751. The reversal of 85733 is 33758.

85733 is nontrivially palindromic in base 2.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82369 + 3364 = 287^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 85733 - 2⁴ = 85717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42866 + 42867.

It is an arithmetic number, because the mean of its divisors is an integer number (42867).

2⁸⁵⁷³³ is an apocalyptic number.

It is an amenable number.

85733 is a deficient number, since it is larger than the sum of its proper divisors (1).

85733 is an equidigital number, since it uses as much as digits as its factorization.

85733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2520, while the sum is 26.

The square root of 85733 is about 292.8019808676. The cubic root of 85733 is about 44.0943224506.

It can be divided in two parts, 85 and 733, that added together give a palindrome (818).

The spelling of 85733 in words is "eighty-five thousand, seven hundred thirty-three".