11638319 has 24 divisors (see below), whose sum is σ = 15443328. Its totient is φ = 8519040.

The previous prime is 11638303. The next prime is 11638321. The reversal of 11638319 is 91383611.

It is not a de Polignac number, because 11638319 - 2⁴ = 11638303 is a prime.

It is a super-2 number, since 2×11638319² = 270900938291522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638339) 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 23 ways as a sum of consecutive naturals, for example, 21992 + ... + 22514.

It is an arithmetic number, because the mean of its divisors is an integer number (643472).

Almost surely, 2^11638319 is an apocalyptic number.

11638319 is a deficient number, since it is larger than the sum of its proper divisors (3805009).

11638319 is a wasteful number, since it uses less digits than its factorization.

11638319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 558 counting only the distinct ones).

The product of its digits is 3888, while the sum is 32.

The square root of 11638319 is about 3411.4980580384. The cubic root of 11638319 is about 226.6192261827.

The spelling of 11638319 in words is "eleven million, six hundred thirty-eight thousand, three hundred nineteen".