3193 has 4 divisors (see below), whose sum is σ = 3328. Its totient is φ = 3060.

The previous prime is 3191. The next prime is 3203. The reversal of 3193 is 3913.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 3193 - 2¹ = 3191 is a prime.

It is the 57-th Hogben number.

It is a Duffinian number.

3193 is a modest number, since divided by 93 gives 31 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3191) by changing a digit.

It is a nontrivial repunit in base 56.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21 + ... + 82.

It is an arithmetic number, because the mean of its divisors is an integer number (832).

2³¹⁹³ is an apocalyptic number.

It is an amenable number.

3193 is a deficient number, since it is larger than the sum of its proper divisors (135).

3193 is a wasteful number, since it uses less digits than its factorization.

3193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its digits is 81, while the sum is 16.

The square root of 3193 is about 56.5066367783. The cubic root of 3193 is about 14.7253730582.

It can be divided in two parts, 3 and 193, that added together give a square (196 = 14²).

The spelling of 3193 in words is "three thousand, one hundred ninety-three".