11638971 has 24 divisors (see below), whose sum is σ = 17594304. Its totient is φ = 7688520.

The previous prime is 11638961. The next prime is 11638973. The reversal of 11638971 is 17983611.

11638971 is a `hidden beast` number, since 11 + 638 + 9 + 7 + 1 = 666.

11638971 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 11638971 - 2¹³ = 11630779 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638973) 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, 51160 + ... + 51386.

It is an arithmetic number, because the mean of its divisors is an integer number (733096).

Almost surely, 2^11638971 is an apocalyptic number.

11638971 is a deficient number, since it is larger than the sum of its proper divisors (5955333).

11638971 is an equidigital number, since it uses as much as digits as its factorization.

11638971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 11638971 is about 3411.5936158927. The cubic root of 11638971 is about 226.6234579787.

The spelling of 11638971 in words is "eleven million, six hundred thirty-eight thousand, nine hundred seventy-one".