49993 has 2 divisors, whose sum is σ = 49994. Its totient is φ = 49992.

The previous prime is 49991. The next prime is 49999. The reversal of 49993 is 39994.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45369 + 4624 = 213^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 49993 - 2¹ = 49991 is a prime.

Together with 49991, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (49991) by changing a digit.

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 as a sum of consecutive naturals, namely, 24996 + 24997.

It is an arithmetic number, because the mean of its divisors is an integer number (24997).

2⁴⁹⁹⁹³ is an apocalyptic number.

It is an amenable number.

49993 is a deficient number, since it is larger than the sum of its proper divisors (1).

49993 is an equidigital number, since it uses as much as digits as its factorization.

49993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8748, while the sum is 34.

The square root of 49993 is about 223.5911447263. The cubic root of 49993 is about 36.8385956915.

Subtracting from 49993 its reverse (39994), we obtain a palindrome (9999).

The spelling of 49993 in words is "forty-nine thousand, nine hundred ninety-three".