193008 has 20 divisors (see below), whose sum is σ = 498728. Its totient is φ = 64320.

The previous prime is 193003. The next prime is 193009. The reversal of 193008 is 800391.

193008 is nontrivially palindromic in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 193008.

It is not an unprimeable number, because it can be changed into a prime (193003) by changing a digit.

193008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1963 + ... + 2058.

2¹⁹³⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

193008 is an abundant number, since it is smaller than the sum of its proper divisors (305720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

193008 is a wasteful number, since it uses less digits than its factorization.

193008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 193008 is about 439.3267576645. The cubic root of 193008 is about 57.7907641202.

Adding to 193008 its reverse (800391), we get a palindrome (993399).

The spelling of 193008 in words is "one hundred ninety-three thousand, eight".