108593 has 6 divisors (see below), whose sum is σ = 113202. Its totient is φ = 104160.

The previous prime is 108587. The next prime is 108631. The reversal of 108593 is 395801.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 47089 = 248^2 + 217^2 .

It is not a de Polignac number, because 108593 - 2⁶ = 108529 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 905 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (18867).

2¹⁰⁸⁵⁹³ is an apocalyptic number.

It is an amenable number.

108593 is a deficient number, since it is larger than the sum of its proper divisors (4609).

108593 is an equidigital number, since it uses as much as digits as its factorization.

108593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 108593 is about 329.5345201948. The cubic root of 108593 is about 47.7090325957.

The spelling of 108593 in words is "one hundred eight thousand, five hundred ninety-three".