4993 has 2 divisors, whose sum is σ = 4994. Its totient is φ = 4992.

The previous prime is 4987. The next prime is 4999. The reversal of 4993 is 3994.

It is a balanced prime because it is at equal distance from previous prime (4987) and next prime (4999).

It can be written as a sum of positive squares in only one way, i.e., 3969 + 1024 = 63^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 4993 - 2⁹ = 4481 is a prime.

4993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (4999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2496 + 2497.

It is an arithmetic number, because the mean of its divisors is an integer number (2497).

It is a Proth number, since it is equal to 39 ⋅ 2⁷ + 1 and 39 < 2⁷.

2⁴⁹⁹³ is an apocalyptic number.

It is an amenable number.

4993 is a deficient number, since it is larger than the sum of its proper divisors (1).

4993 is an equidigital number, since it uses as much as digits as its factorization.

4993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 25.

The square root of 4993 is about 70.6611633077. The cubic root of 4993 is about 17.0917758522.

Subtracting from 4993 its reverse (3994), we obtain a palindrome (999).

The spelling of 4993 in words is "four thousand, nine hundred ninety-three".