11641 has 4 divisors (see below), whose sum is σ = 13312. Its totient is φ = 9972.

The previous prime is 11633. The next prime is 11657. The reversal of 11641 is 14611.

11641 is nontrivially palindromic in base 6.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 14611 = 19 ⋅769.

It is a cyclic number.

It is not a de Polignac number, because 11641 - 2³ = 11633 is a prime.

It is a Duffinian number.

11641 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 825 + ... + 838.

It is an arithmetic number, because the mean of its divisors is an integer number (3328).

2¹¹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

11641 is a deficient number, since it is larger than the sum of its proper divisors (1671).

11641 is an equidigital number, since it uses as much as digits as its factorization.

11641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670.

The product of its digits is 24, while the sum is 13.

The square root of 11641 is about 107.8934659745. The cubic root of 11641 is about 22.6636626161.

Subtracting from 11641 its sum of digits (13), we obtain a triangular number (11628 = T₁₅₂).

The spelling of 11641 in words is "eleven thousand, six hundred forty-one".