193938 has 8 divisors (see below), whose sum is σ = 387888. Its totient is φ = 64644.

The previous prime is 193937. The next prime is 193939. The reversal of 193938 is 839391.

It is an interprime number because it is at equal distance from previous prime (193937) and next prime (193939).

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

193938 is an admirable number.

It is a super-2 number, since 2×193938² = 75223895688, which contains 22 as substring.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 193899 and 193908.

It is not an unprimeable number, because it can be changed into a prime (193937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16156 + ... + 16167.

It is an arithmetic number, because the mean of its divisors is an integer number (48486).

2¹⁹³⁹³⁸ is an apocalyptic number.

193938 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

193938 is a wasteful number, since it uses less digits than its factorization.

193938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32328.

The product of its digits is 5832, while the sum is 33.

The square root of 193938 is about 440.3839234123. The cubic root of 193938 is about 57.8834361298.

It can be divided in two parts, 1 and 93938, that added together give a palindrome (93939).

The spelling of 193938 in words is "one hundred ninety-three thousand, nine hundred thirty-eight".