4193 has 4 divisors (see below), whose sum is σ = 4800. Its totient is φ = 3588.

The previous prime is 4177. The next prime is 4201. The reversal of 4193 is 3914.

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 4193 - 2⁴ = 4177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4193.

It is not an unprimeable number, because it can be changed into a prime (4133) 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, 293 + ... + 306.

It is an arithmetic number, because the mean of its divisors is an integer number (1200).

2⁴¹⁹³ is an apocalyptic number.

It is an amenable number.

4193 is a deficient number, since it is larger than the sum of its proper divisors (607).

4193 is an equidigital number, since it uses as much as digits as its factorization.

4193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606.

The product of its digits is 108, while the sum is 17.

The square root of 4193 is about 64.7533782902. The cubic root of 4193 is about 16.1253179834.

The spelling of 4193 in words is "four thousand, one hundred ninety-three".