85993 has 4 divisors (see below), whose sum is σ = 86868. Its totient is φ = 85120.

The previous prime is 85991. The next prime is 85999. The reversal of 85993 is 39958.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 39958 = 2 ⋅19979.

It can be written as a sum of positive squares in 2 ways, for example, as 729 + 85264 = 27^2 + 292^2 .

It is a cyclic number.

It is not a de Polignac number, because 85993 - 2¹ = 85991 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85991) 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 in 3 ways as a sum of consecutive naturals, for example, 268 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (21717).

2⁸⁵⁹⁹³ is an apocalyptic number.

It is an amenable number.

85993 is a deficient number, since it is larger than the sum of its proper divisors (875).

85993 is a wasteful number, since it uses less digits than its factorization.

85993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874.

The product of its digits is 9720, while the sum is 34.

The square root of 85993 is about 293.2456308285. The cubic root of 85993 is about 44.1388519937.

The spelling of 85993 in words is "eighty-five thousand, nine hundred ninety-three".