11005232 has 40 divisors (see below), whose sum is σ = 24644256. Its totient is φ = 4663296.

The previous prime is 11005231. The next prime is 11005259. The reversal of 11005232 is 23250011.

It is a happy number.

It is a super-2 number, since 2×11005232² = 242230262747648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11005231) 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 7 ways as a sum of consecutive naturals, for example, 10358 + ... + 11370.

Almost surely, 2^11005232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11005232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12322128).

11005232 is an abundant number, since it is smaller than the sum of its proper divisors (13639024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11005232 is a wasteful number, since it uses less digits than its factorization.

11005232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 11005232 is about 3317.4134502651. The cubic root of 11005232 is about 222.4332636615.

Adding to 11005232 its reverse (23250011), we get a palindrome (34255243).

The spelling of 11005232 in words is "eleven million, five thousand, two hundred thirty-two".