193168 has 10 divisors (see below), whose sum is σ = 374294. Its totient is φ = 96576.

The previous prime is 193163. The next prime is 193181. The reversal of 193168 is 861391.

It is a happy number.

193168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 110224 + 82944 = 332^2 + 288^2 .

It is not an unprimeable number, because it can be changed into a prime (193163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6021 + ... + 6052.

2¹⁹³¹⁶⁸ is an apocalyptic number.

It is an amenable number.

193168 is a deficient number, since it is larger than the sum of its proper divisors (181126).

193168 is a wasteful number, since it uses less digits than its factorization.

193168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12081 (or 12075 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 193168 is about 439.5088167489. The cubic root of 193168 is about 57.8067288615.

It can be divided in two parts, 193 and 168, that added together give a square (361 = 19²).

The spelling of 193168 in words is "one hundred ninety-three thousand, one hundred sixty-eight".