23643 has 12 divisors (see below), whose sum is σ = 35568. Its totient is φ = 15120.

The previous prime is 23633. The next prime is 23663. The reversal of 23643 is 34632.

23643 is a `hidden beast` number, since 23 + 643 = 666.

It is not a de Polignac number, because 23643 - 2⁴ = 23627 is a prime.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (23603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (2964).

2²³⁶⁴³ is an apocalyptic number.

23643 is a deficient number, since it is larger than the sum of its proper divisors (11925).

23643 is a wasteful number, since it uses less digits than its factorization.

23643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 111 counting only the distinct ones).

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

The square root of 23643 is about 153.7628043449. The cubic root of 23643 is about 28.7012532485.

It can be divided in two parts, 23 and 643, that added together give a palindrome (666).

The spelling of 23643 in words is "twenty-three thousand, six hundred forty-three".