11649 has 8 divisors (see below), whose sum is σ = 16992. Its totient is φ = 7040.

The previous prime is 11633. The next prime is 11657. The reversal of 11649 is 94611.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11649 - 2⁴ = 11633 is a prime.

It is an Ulam number.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11649.

It is not an unprimeable number, because it can be changed into a prime (11689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (2124).

It is a Proth number, since it is equal to 91 ⋅ 2⁷ + 1 and 91 < 2⁷.

2¹¹⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

11649 is a deficient number, since it is larger than the sum of its proper divisors (5343).

11649 is a wasteful number, since it uses less digits than its factorization.

11649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367.

The product of its digits is 216, while the sum is 21.

The square root of 11649 is about 107.9305332147. The cubic root of 11649 is about 22.6688531147.

Subtracting from 11649 its sum of digits (21), we obtain a triangular number (11628 = T₁₅₂).

The spelling of 11649 in words is "eleven thousand, six hundred forty-nine".