23364 has 36 divisors (see below), whose sum is σ = 65520. Its totient is φ = 6960.

The previous prime is 23357. The next prime is 23369. The reversal of 23364 is 46332.

Added to its reverse (46332) it gives a square (69696 = 264²).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹¹ + 3⁴ + 3⁹ + 6⁴ + 4⁴ .

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (23369) by changing a digit.

23364 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 in 11 ways as a sum of consecutive naturals, for example, 367 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (1820).

2²³³⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32760).

23364 is an abundant number, since it is smaller than the sum of its proper divisors (42156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23364 is a wasteful number, since it uses less digits than its factorization.

23364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 75 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 23364 is about 152.8528704343. The cubic root of 23364 is about 28.5879095390.

Adding to 23364 its reverse (46332), we get a palindrome (69696).

The spelling of 23364 in words is "twenty-three thousand, three hundred sixty-four".