42393 has 8 divisors (see below), whose sum is σ = 60928. Its totient is φ = 26064.

The previous prime is 42391. The next prime is 42397. The reversal of 42393 is 39324.

42393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42393 - 2¹ = 42391 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42393.

It is not an unprimeable number, because it can be changed into a prime (42391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (7616).

2⁴²³⁹³ is an apocalyptic number.

It is an amenable number.

42393 is a deficient number, since it is larger than the sum of its proper divisors (18535).

42393 is a wasteful number, since it uses less digits than its factorization.

42393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103.

The product of its digits is 648, while the sum is 21.

The square root of 42393 is about 205.8956046155. The cubic root of 42393 is about 34.8683489584.

It can be divided in two parts, 42 and 393, that added together give a triangular number (435 = T₂₉).

The spelling of 42393 in words is "forty-two thousand, three hundred ninety-three".