85093 has 2 divisors, whose sum is σ = 85094. Its totient is φ = 85092.

The previous prime is 85091. The next prime is 85103. The reversal of 85093 is 39058.

85093 is nontrivially palindromic in base 2 and base 6.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66049 + 19044 = 257^2 + 138^2 .

It is a cyclic number.

It is not a de Polignac number, because 85093 - 2¹ = 85091 is a prime.

Together with 85091, it forms a pair of twin primes.

It is equal to p₈₂₈₇ and since 85093 and 8287 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42546 + 42547.

It is an arithmetic number, because the mean of its divisors is an integer number (42547).

2⁸⁵⁰⁹³ is an apocalyptic number.

It is an amenable number.

85093 is a deficient number, since it is larger than the sum of its proper divisors (1).

85093 is an equidigital number, since it uses as much as digits as its factorization.

85093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 85093 is about 291.7070448241. The cubic root of 85093 is about 43.9843263733.

The spelling of 85093 in words is "eighty-five thousand, ninety-three".