40093 has 2 divisors, whose sum is σ = 40094. Its totient is φ = 40092.

The previous prime is 40087. The next prime is 40099. The reversal of 40093 is 39004.

It is a balanced prime because it is at equal distance from previous prime (40087) and next prime (40099).

It can be written as a sum of positive squares in only one way, i.e., 24964 + 15129 = 158^2 + 123^2 .

It is a cyclic number.

It is not a de Polignac number, because 40093 - 2⁹ = 39581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20046 + 20047.

It is an arithmetic number, because the mean of its divisors is an integer number (20047).

2⁴⁰⁰⁹³ is an apocalyptic number.

It is an amenable number.

40093 is a deficient number, since it is larger than the sum of its proper divisors (1).

40093 is an equidigital number, since it uses as much as digits as its factorization.

40093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 40093 is about 200.2323650162. The cubic root of 40093 is about 34.2260030461.

Adding to 40093 its reverse (39004), we get a palindrome (79097).

Subtracting from 40093 its reverse (39004), we obtain a square (1089 = 33²).

The spelling of 40093 in words is "forty thousand, ninety-three".