4093 has 2 divisors, whose sum is σ = 4094. Its totient is φ = 4092.

The previous prime is 4091. The next prime is 4099. The reversal of 4093 is 3904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3364 + 729 = 58^2 + 27^2 .

It is a cyclic number.

It is not a de Polignac number, because 4093 - 2¹ = 4091 is a prime.

Together with 4091, it forms a pair of twin primes.

It is a plaindrome in base 5.

It is a nialpdrome in base 4, base 8 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2046 + 2047.

It is an arithmetic number, because the mean of its divisors is an integer number (2047).

2⁴⁰⁹³ is an apocalyptic number.

It is an amenable number.

4093 is a deficient number, since it is larger than the sum of its proper divisors (1).

4093 is an equidigital number, since it uses as much as digits as its factorization.

4093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 4093 is about 63.9765582069. The cubic root of 4093 is about 15.9960927959.

Adding to 4093 its reverse (3904), we get a palindrome (7997).

The spelling of 4093 in words is "four thousand, ninety-three".