Search a number
293 is a prime number

293 has 2 divisors, whose sum is σ = 294. Its totient is φ = 292.

The previous prime is 283. The next prime is 307. The reversal of 293 is 392.

It is a happy number.

293 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is an a-pointer prime, because the next prime (307) can be obtained adding 293 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 289 + 4 = 17^2 + 2^2 .

293 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 293 - 24 = 277 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 7, base 8, base 9, base 11, base 14, base 15 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 146 + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (147).

It is an amenable number.

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

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

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

The product of its digits is 54, while the sum is 14.

The square root of 293 is about 17.1172427686. The cubic root of 293 is about 6.6418521953.

Subtracting 293 from its reverse (392), we obtain a palindrome (99).

It can be divided in two parts, 29 and 3, that added together give a 5-th power (32 = 25).

The spelling of 293 in words is "two hundred ninety-three", and thus it is an aban number.