40293 has 18 divisors (see below), whose sum is σ = 65702. Its totient is φ = 23760.

The previous prime is 40289. The next prime is 40343. The reversal of 40293 is 39204.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 1089 = 198^2 + 33^2 .

It is not a de Polignac number, because 40293 - 2² = 40289 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40213) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1071 + ... + 1107.

2⁴⁰²⁹³ is an apocalyptic number.

It is an amenable number.

40293 is a deficient number, since it is larger than the sum of its proper divisors (25409).

40293 is a wasteful number, since it uses less digits than its factorization.

40293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 40293 is about 200.7311634998. The cubic root of 40293 is about 34.2828196961.

Adding to 40293 its reverse (39204), we get a palindrome (79497).

Subtracting from 40293 its reverse (39204), we obtain a square (1089 = 33²).

It can be divided in two parts, 40 and 293, that added together give a palindrome (333).

The spelling of 40293 in words is "forty thousand, two hundred ninety-three".