193338 has 24 divisors (see below), whose sum is σ = 438048. Its totient is φ = 61512.

The previous prime is 193337. The next prime is 193357. The reversal of 193338 is 833391.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (193337) by changing a digit.

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, 181 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (18252).

2¹⁹³³³⁸ is an apocalyptic number.

193338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 193338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219024).

193338 is an abundant number, since it is smaller than the sum of its proper divisors (244710).

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

193338 is a wasteful number, since it uses less digits than its factorization.

193338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 495 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 193338 is about 439.7021719300. The cubic root of 193338 is about 57.8236817427.

It can be divided in two parts, 1 and 93338, that added together give a palindrome (93339).

The spelling of 193338 in words is "one hundred ninety-three thousand, three hundred thirty-eight".