47993 has 4 divisors (see below), whose sum is σ = 52368. Its totient is φ = 43620.

The previous prime is 47981. The next prime is 48017. The reversal of 47993 is 39974.

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 47993 - 2⁴ = 47977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47903) 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 in 3 ways as a sum of consecutive naturals, for example, 2171 + ... + 2192.

It is an arithmetic number, because the mean of its divisors is an integer number (13092).

2⁴⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

47993 is a deficient number, since it is larger than the sum of its proper divisors (4375).

47993 is a wasteful number, since it uses less digits than its factorization.

47993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374.

The product of its digits is 6804, while the sum is 32.

The square root of 47993 is about 219.0730471783. The cubic root of 47993 is about 36.3406451257.

Subtracting from 47993 its sum of digits (32), we obtain a square (47961 = 219²).

It can be divided in two parts, 4 and 7993, that added together give a palindrome (7997).

The spelling of 47993 in words is "forty-seven thousand, nine hundred ninety-three".