11288211 has 20 divisors (see below), whose sum is σ = 16620360. Its totient is φ = 6814720.

The previous prime is 11288197. The next prime is 11288213.

11288211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11288211 - 2²² = 7093907 is a prime.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (11288213) 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 19 ways as a sum of consecutive naturals, for example, 43795 + ... + 44051.

It is an arithmetic number, because the mean of its divisors is an integer number (831018).

Almost surely, 2^11288211 is an apocalyptic number.

11288211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11288211 is a deficient number, since it is larger than the sum of its proper divisors (5332149).

11288211 is an frugal number, since it uses more digits than its factorization.

11288211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 271 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

The square root of 11288211 is about 3359.7932972134. The cubic root of 11288211 is about 224.3236379928.

It can be divided in two parts, 1128 and 8211, that added together give a palindrome (9339).

The spelling of 11288211 in words is "eleven million, two hundred eighty-eight thousand, two hundred eleven".