85793 has 2 divisors, whose sum is σ = 85794. Its totient is φ = 85792.

The previous prime is 85781. The next prime is 85817. The reversal of 85793 is 39758.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 529 = 292^2 + 23^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85793 is a prime.

It is a Chen prime.

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, 42896 + 42897.

It is an arithmetic number, because the mean of its divisors is an integer number (42897).

2⁸⁵⁷⁹³ is an apocalyptic number.

It is an amenable number.

85793 is a deficient number, since it is larger than the sum of its proper divisors (1).

85793 is an equidigital number, since it uses as much as digits as its factorization.

85793 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7560, while the sum is 32.

The square root of 85793 is about 292.9044212708. The cubic root of 85793 is about 44.1046064813.

It can be divided in two parts, 85 and 793, that added together give a palindrome (878).

The spelling of 85793 in words is "eighty-five thousand, seven hundred ninety-three".