23647 has 8 divisors (see below), whose sum is σ = 27216. Its totient is φ = 20352.

The previous prime is 23633. The next prime is 23663. The reversal of 23647 is 74632.

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

It is a cyclic number.

It is not a de Polignac number, because 23647 - 2¹¹ = 21599 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23647.

It is not an unprimeable number, because it can be changed into a prime (23627) 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, 168 + ... + 274.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2²³⁶⁴⁷ is an apocalyptic number.

23647 is a deficient number, since it is larger than the sum of its proper divisors (3569).

23647 is a wasteful number, since it uses less digits than its factorization.

23647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137.

The product of its digits is 1008, while the sum is 22.

The square root of 23647 is about 153.7758108416. The cubic root of 23647 is about 28.7028717478.

The spelling of 23647 in words is "twenty-three thousand, six hundred forty-seven".