Search a number
10949 is a prime number

10949 has 2 divisors, whose sum is σ = 10950. Its totient is φ = 10948.

The previous prime is 10939. The next prime is 10957. The reversal of 10949 is 94901.

10949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6724 + 4225 = 82^2 + 65^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10949 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5474 + 5475.

It is an arithmetic number, because the mean of its divisors is an integer number (5475).

210949 is an apocalyptic number.

It is an amenable number.

10949 is a deficient number, since it is larger than the sum of its proper divisors (1).

10949 is an equidigital number, since it uses as much as digits as its factorization.

10949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 10949 is about 104.6374693884. The cubic root of 10949 is about 22.2053770488.

It can be divided in two parts, 10 and 949, that added together give a palindrome (959).

The spelling of 10949 in words is "ten thousand, nine hundred forty-nine".