193085 has 12 divisors (see below), whose sum is σ = 245532. Its totient is φ = 145728.

The previous prime is 193073. The next prime is 193093. The reversal of 193085 is 580391.

It can be written as a sum of positive squares in 2 ways, for example, as 89401 + 103684 = 299^2 + 322^2 .

It is not a de Polignac number, because 193085 - 2¹⁶ = 127549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2609 + ... + 2681.

It is an arithmetic number, because the mean of its divisors is an integer number (20461).

2¹⁹³⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

193085 is a deficient number, since it is larger than the sum of its proper divisors (52447).

193085 is an equidigital number, since it uses as much as digits as its factorization.

193085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

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

The square root of 193085 is about 439.4143830145. The cubic root of 193085 is about 57.7984482528.

The spelling of 193085 in words is "one hundred ninety-three thousand, eighty-five".