11133873 has 12 divisors (see below), whose sum is σ = 16118388. Its totient is φ = 7405920.

The previous prime is 11133841. The next prime is 11133907. The reversal of 11133873 is 37833111.

It can be written as a sum of positive squares in 2 ways, for example, as 3908529 + 7225344 = 1977^2 + 2688^2 .

It is not a de Polignac number, because 11133873 - 2⁵ = 11133841 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11133803) 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 11 ways as a sum of consecutive naturals, for example, 3903 + ... + 6123.

It is an arithmetic number, because the mean of its divisors is an integer number (1343199).

Almost surely, 2^11133873 is an apocalyptic number.

It is an amenable number.

11133873 is a deficient number, since it is larger than the sum of its proper divisors (4984515).

11133873 is a wasteful number, since it uses less digits than its factorization.

11133873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2781 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 11133873 is about 3336.7458698558. The cubic root of 11133873 is about 223.2965883459.

Adding to 11133873 its reverse (37833111), we get a palindrome (48966984).

The spelling of 11133873 in words is "eleven million, one hundred thirty-three thousand, eight hundred seventy-three".