40193 has 2 divisors, whose sum is σ = 40194. Its totient is φ = 40192.

The previous prime is 40189. The next prime is 40213. The reversal of 40193 is 39104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 10609 = 172^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 40193 - 2² = 40189 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (40123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20096 + 20097.

It is an arithmetic number, because the mean of its divisors is an integer number (20097).

It is a Proth number, since it is equal to 157 ⋅ 2⁸ + 1 and 157 < 2⁸.

2⁴⁰¹⁹³ is an apocalyptic number.

It is an amenable number.

40193 is a deficient number, since it is larger than the sum of its proper divisors (1).

40193 is an equidigital number, since it uses as much as digits as its factorization.

40193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 40193 is about 200.4819193843. The cubic root of 40193 is about 34.2544349311.

Adding to 40193 its reverse (39104), we get a palindrome (79297).

Subtracting from 40193 its reverse (39104), we obtain a square (1089 = 33²).

It can be divided in two parts, 401 and 93, that added together give a palindrome (494).

The spelling of 40193 in words is "forty thousand, one hundred ninety-three".