193193 has 16 divisors (see below), whose sum is σ = 260736. Its totient is φ = 138240.

The previous prime is 193189. The next prime is 193201. The reversal of 193193 is 391391.

It is a cyclic number.

It is not a de Polignac number, because 193193 - 2² = 193189 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (16296).

2¹⁹³¹⁹³ is an apocalyptic number.

193193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

193193 is a deficient number, since it is larger than the sum of its proper divisors (67543).

193193 is a wasteful number, since it uses less digits than its factorization.

193193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224.

The product of its digits is 729, while the sum is 26.

The square root of 193193 is about 439.5372566689. The cubic root of 193193 is about 57.8092225559.

The spelling of 193193 in words is "one hundred ninety-three thousand, one hundred ninety-three".