11647 has 4 divisors (see below), whose sum is σ = 12280. Its totient is φ = 11016.

The previous prime is 11633. The next prime is 11657. The reversal of 11647 is 74611.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 11647 - 2⁷ = 11519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 613 = 11647 / (1 + 1 + 6 + 4 + 7).

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11617) 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 3 ways as a sum of consecutive naturals, for example, 288 + ... + 325.

It is an arithmetic number, because the mean of its divisors is an integer number (3070).

2¹¹⁶⁴⁷ is an apocalyptic number.

11647 is a deficient number, since it is larger than the sum of its proper divisors (633).

11647 is an equidigital number, since it uses as much as digits as its factorization.

11647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632.

The product of its digits is 168, while the sum is 19.

The square root of 11647 is about 107.9212675982. The cubic root of 11647 is about 22.6675557129.

Subtracting from 11647 its sum of digits (19), we obtain a triangular number (11628 = T₁₅₂).

It can be divided in two parts, 11 and 647, that multiplied together give a palindrome (7117).

The spelling of 11647 in words is "eleven thousand, six hundred forty-seven".