193908 has 48 divisors (see below), whose sum is σ = 536256. Its totient is φ = 53760.

The previous prime is 193891. The next prime is 193937. The reversal of 193908 is 809391.

It is a happy number.

193908 is nontrivially palindromic in base 15.

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 15 ways as a sum of consecutive naturals, for example, 1660 + ... + 1772.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2¹⁹³⁹⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128).

193908 is an abundant number, since it is smaller than the sum of its proper divisors (342348).

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

193908 is a wasteful number, since it uses less digits than its factorization.

193908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 193908 is about 440.3498609061. The cubic root of 193908 is about 57.8804513398.

The spelling of 193908 in words is "one hundred ninety-three thousand, nine hundred eight".