193985 has 8 divisors (see below), whose sum is σ = 254016. Its totient is φ = 141040.

The previous prime is 193979. The next prime is 193993. The reversal of 193985 is 589391.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 193985 - 2¹⁰ = 192961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1709 + ... + 1818.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2¹⁹³⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

193985 is a deficient number, since it is larger than the sum of its proper divisors (60031).

193985 is a wasteful number, since it uses less digits than its factorization.

193985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543.

The product of its digits is 9720, while the sum is 35.

The square root of 193985 is about 440.4372827089. The cubic root of 193985 is about 57.8881116821. Note that the first 3 decimals are identical.

It can be divided in two parts, 19 and 3985, that added together give a palindrome (4004).

The spelling of 193985 in words is "one hundred ninety-three thousand, nine hundred eighty-five".