193 has 2 divisors, whose sum is σ = 194. Its totient is φ = 192.

The previous prime is 191. The next prime is 197. The reversal of 193 is 391.

It is a happy number.

193 is nontrivially palindromic in base 12.

193 is an esthetic number in base 9 and base 15, because in such bases its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144 + 49 = 12^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 193 - 2^{1} = 191 is a prime.

Together with 191, it forms a pair of twin primes.

193 is an undulating number in base 12.

193 is a lucky number.

It is a plaindrome in base 5, base 9, base 11, base 13 and base 15.

It is a nialpdrome in base 6, base 14 and base 16.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a Pierpont prime, being equal to 2^{6} ⋅ 3^{1} + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 96 + 97.

It is an arithmetic number, because the mean of its divisors is an integer number (97).

It is a Proth number, since it is equal to 3 ⋅ 2^{6} + 1 and 3 < 2^{6}.

It is an amenable number.

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

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

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

The product of its digits is 27, while the sum is 13.

The square root of 193 is about 13.8924439894. The cubic root of 193 is about 5.7789965652.

It can be divided in two parts, 19 and 3, that added together give a palindrome (22).

The spelling of 193 in words is "one hundred ninety-three", and thus it is an aban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.133 sec. • engine limits •