23264 has 12 divisors (see below), whose sum is σ = 45864. Its totient is φ = 11616.

The previous prime is 23251. The next prime is 23269. The reversal of 23264 is 46232.

23264 = T₂₁ + T₂₂ + ... + T₅₂.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23269) by changing a digit.

23264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 332 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2²³²⁶⁴ is an apocalyptic number.

It is an amenable number.

23264 is a deficient number, since it is larger than the sum of its proper divisors (22600).

23264 is an equidigital number, since it uses as much as digits as its factorization.

23264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its digits is 288, while the sum is 17.

The square root of 23264 is about 152.5254077195. The cubic root of 23264 is about 28.5470649447.

Adding to 23264 its reverse (46232), we get a palindrome (69496).

The spelling of 23264 in words is "twenty-three thousand, two hundred sixty-four".