193885 has 8 divisors (see below), whose sum is σ = 246456. Its totient is φ = 145920.

The previous prime is 193883. The next prime is 193891. The reversal of 193885 is 588391.

It can be written as a sum of positive squares in 4 ways, for example, as 47961 + 145924 = 219^2 + 382^2 .

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

It is not a de Polignac number, because 193885 - 2¹ = 193883 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 193885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056 + ... + 1225.

It is an arithmetic number, because the mean of its divisors is an integer number (30807).

2¹⁹³⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

193885 is a deficient number, since it is larger than the sum of its proper divisors (52571).

193885 is a wasteful number, since it uses less digits than its factorization.

193885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303.

The product of its digits is 8640, while the sum is 34.

The square root of 193885 is about 440.3237445335. The cubic root of 193885 is about 57.8781627923.

The spelling of 193885 in words is "one hundred ninety-three thousand, eight hundred eighty-five".