40393 has 4 divisors (see below), whose sum is σ = 41728. Its totient is φ = 39060.

The previous prime is 40387. The next prime is 40423. The reversal of 40393 is 39304.

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 not a de Polignac number, because 40393 - 2⁵ = 40361 is a prime.

It is a Duffinian number.

40393 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 40393.

It is not an unprimeable number, because it can be changed into a prime (40343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 621 + ... + 682.

It is an arithmetic number, because the mean of its divisors is an integer number (10432).

2⁴⁰³⁹³ is an apocalyptic number.

It is an amenable number.

40393 is a deficient number, since it is larger than the sum of its proper divisors (1335).

40393 is a wasteful number, since it uses less digits than its factorization.

40393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 40393 is about 200.9800985172. The cubic root of 40393 is about 34.3111575360.

Adding to 40393 its reverse (39304), we get a palindrome (79697).

Subtracting from 40393 its reverse (39304), we obtain a square (1089 = 33²).

It can be divided in two parts, 403 and 93, that added together give a triangular number (496 = T₃₁).

The spelling of 40393 in words is "forty thousand, three hundred ninety-three".