23649 has 4 divisors (see below), whose sum is σ = 31536. Its totient is φ = 15764.

The previous prime is 23633. The next prime is 23663. The reversal of 23649 is 94632.

23649 = T₄₂ + T₄₃ + ... + T₅₉.

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.

It is a cyclic number.

It is not a de Polignac number, because 23649 - 2⁴ = 23633 is a prime.

It is a D-number.

23649 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (23609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3939 + ... + 3944.

It is an arithmetic number, because the mean of its divisors is an integer number (7884).

2²³⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

23649 is a deficient number, since it is larger than the sum of its proper divisors (7887).

23649 is an equidigital number, since it uses as much as digits as its factorization.

23649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886.

The product of its digits is 1296, while the sum is 24.

The square root of 23649 is about 153.7823136775. The cubic root of 23649 is about 28.7036809291.

The spelling of 23649 in words is "twenty-three thousand, six hundred forty-nine".