40593 has 8 divisors (see below), whose sum is σ = 61888. Its totient is φ = 23184.

The previous prime is 40591. The next prime is 40597. The reversal of 40593 is 39504.

40593 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 40593 - 2¹ = 40591 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 1933 = 40593 / (4 + 0 + 5 + 9 + 3).

It is a Duffinian number.

40593 is a lucky number.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40593.

It is not an unprimeable number, because it can be changed into a prime (40591) 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, 946 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (7736).

2⁴⁰⁵⁹³ is an apocalyptic number.

It is an amenable number.

40593 is a deficient number, since it is larger than the sum of its proper divisors (21295).

40593 is a wasteful number, since it uses less digits than its factorization.

40593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 40593 is about 201.4770458390. The cubic root of 40593 is about 34.3676932128.

Subtracting from 40593 its reverse (39504), we obtain a square (1089 = 33²).

The spelling of 40593 in words is "forty thousand, five hundred ninety-three".