11638837 has 8 divisors (see below), whose sum is σ = 13392000. Its totient is φ = 9908304.

The previous prime is 11638819. The next prime is 11638873. The reversal of 11638837 is 73883611.

11638837 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11638837 - 2¹⁵ = 11606069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11638796 and 11638805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4537 + ... + 6622.

It is an arithmetic number, because the mean of its divisors is an integer number (1674000).

Almost surely, 2^11638837 is an apocalyptic number.

It is an amenable number.

11638837 is a deficient number, since it is larger than the sum of its proper divisors (1753163).

11638837 is a wasteful number, since it uses less digits than its factorization.

11638837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11315.

The product of its digits is 24192, while the sum is 37.

The square root of 11638837 is about 3411.5739769203. The cubic root of 11638837 is about 226.6225882667.

It can be divided in two parts, 1163 and 8837, that added together give a 4-th power (10000 = 10⁴).

The spelling of 11638837 in words is "eleven million, six hundred thirty-eight thousand, eight hundred thirty-seven".