11005947 has 12 divisors (see below), whose sum is σ = 16024320. Its totient is φ = 7278768.

The previous prime is 11005903. The next prime is 11005949. The reversal of 11005947 is 74950011.

It is not a de Polignac number, because 11005947 - 2¹⁰ = 11004923 is a prime.

It is a super-2 number, since 2×11005947² = 242261738733618, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11005947.

It is not an unprimeable number, because it can be changed into a prime (11005949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3672 + ... + 5957.

It is an arithmetic number, because the mean of its divisors is an integer number (1335360).

Almost surely, 2^11005947 is an apocalyptic number.

11005947 is a deficient number, since it is larger than the sum of its proper divisors (5018373).

11005947 is a wasteful number, since it uses less digits than its factorization.

11005947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9762 (or 9759 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11005947 is about 3317.5212131952. The cubic root of 11005947 is about 222.4380806534.

Adding to 11005947 its reverse (74950011), we get a palindrome (85955958).

The spelling of 11005947 in words is "eleven million, five thousand, nine hundred forty-seven".