11566801 has 9 divisors (see below), whose sum is σ = 12276201. Its totient is φ = 10896804.

The previous prime is 11566781. The next prime is 11566811. The reversal of 11566801 is 10866511.

The square root of 11566801 is 3401.

It is a perfect power (a square), and thus also a powerful number.

11566801 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 11566801 - 2⁷ = 11566673 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11566801.

It is not an unprimeable number, because it can be changed into a prime (11566811) 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 8 ways as a sum of consecutive naturals, for example, 64530 + ... + 64708.

Almost surely, 2^11566801 is an apocalyptic number.

11566801 is the 3401-st square number.

11566801 is the 1701-st centered octagonal number.

It is an amenable number.

11566801 is a deficient number, since it is larger than the sum of its proper divisors (709400).

11566801 is an frugal number, since it uses more digits than its factorization.

11566801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The cubic root of 11566801 is about 226.1540769365.

The spelling of 11566801 in words is "eleven million, five hundred sixty-six thousand, eight hundred one".