11638973 has 2 divisors, whose sum is σ = 11638974. Its totient is φ = 11638972.

The previous prime is 11638961. The next prime is 11638993. The reversal of 11638973 is 37983611.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11580409 + 58564 = 3403^2 + 242^2 .

It is an emirp because it is prime and its reverse (37983611) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11638973 - 2¹⁰ = 11637949 is a prime.

It is equal to p₇₆₅₈₈₄ and since 11638973 and 765884 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11638903) 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 as a sum of consecutive naturals, namely, 5819486 + 5819487.

It is an arithmetic number, because the mean of its divisors is an integer number (5819487).

Almost surely, 2^11638973 is an apocalyptic number.

It is an amenable number.

11638973 is a deficient number, since it is larger than the sum of its proper divisors (1).

11638973 is an equidigital number, since it uses as much as digits as its factorization.

11638973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 38.

The square root of 11638973 is about 3411.5939090109. The cubic root of 11638973 is about 226.6234709594.

The spelling of 11638973 in words is "eleven million, six hundred thirty-eight thousand, nine hundred seventy-three".