11017971 has 32 divisors (see below), whose sum is σ = 17236800. Its totient is φ = 6946560.

The previous prime is 11017961. The next prime is 11017973. The reversal of 11017971 is 17971011.

It is not a de Polignac number, because 11017971 - 2⁶ = 11017907 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11017973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40825 + ... + 41093.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 2^11017971 is an apocalyptic number.

11017971 is a deficient number, since it is larger than the sum of its proper divisors (6218829).

11017971 is a wasteful number, since it uses less digits than its factorization.

11017971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 27.

The square root of 11017971 is about 3319.3329149093. The cubic root of 11017971 is about 222.5190557260.

Adding to 11017971 its reverse (17971011), we get a palindrome (28988982).

It can be divided in two parts, 110 and 17971, that added together give a palindrome (18081).

The spelling of 11017971 in words is "eleven million, seventeen thousand, nine hundred seventy-one".