48393 has 12 divisors (see below), whose sum is σ = 73840. Its totient is φ = 30456.

The previous prime is 48383. The next prime is 48397. The reversal of 48393 is 39384.

48393 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48393 - 2⁹ = 47881 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48393.

It is not an unprimeable number, because it can be changed into a prime (48397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30 + ... + 312.

2⁴⁸³⁹³ is an apocalyptic number.

It is an amenable number.

48393 is a deficient number, since it is larger than the sum of its proper divisors (25447).

48393 is a wasteful number, since it uses less digits than its factorization.

48393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 305 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 48393 is about 219.9840903338. The cubic root of 48393 is about 36.4413268892.

Subtracting from 48393 its reverse (39384), we obtain a palindrome (9009).

It can be divided in two parts, 483 and 93, that added together give a square (576 = 24²).

The spelling of 48393 in words is "forty-eight thousand, three hundred ninety-three".