11564971 has 16 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 10148320.

The previous prime is 11564963. The next prime is 11564983. The reversal of 11564971 is 17946511.

11564971 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11564971 - 2³ = 11564963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11564921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48270 + ... + 48508.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^11564971 is an apocalyptic number.

11564971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11564971 is a deficient number, since it is larger than the sum of its proper divisors (1498709).

11564971 is a wasteful number, since it uses less digits than its factorization.

11564971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386.

The product of its digits is 7560, while the sum is 34.

The square root of 11564971 is about 3400.7309508398. The cubic root of 11564971 is about 226.1421495883.

The spelling of 11564971 in words is "eleven million, five hundred sixty-four thousand, nine hundred seventy-one".