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10947 = 34189

10947 has 8 divisors (see below), whose sum is σ = 15120. Its totient is φ = 7040.

The previous prime is 10939. The next prime is 10949. The reversal of 10947 is 74901.

10947 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10947 - 23 = 10939 is a prime.

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

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10947.

It is not an unprimeable number, because it can be changed into a prime (10949) 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 in 7 ways as a sum of consecutive naturals, for example, 79 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

210947 is an apocalyptic number.

10947 is a deficient number, since it is larger than the sum of its proper divisors (4173).

10947 is an equidigital number, since it uses as much as digits as its factorization.

10947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10947 is about 104.6279121459. The cubic root of 10947 is about 22.2040249175.

The spelling of 10947 in words is "ten thousand, nine hundred forty-seven".

Divisors: 1 3 41 89 123 267 3649 10947