56643 has 8 divisors (see below), whose sum is σ = 76800. Its totient is φ = 37128.

The previous prime is 56633. The next prime is 56659. The reversal of 56643 is 34665.

56643 is nontrivially palindromic in base 5.

It is a Cunningham number, because it is equal to 238²-1.

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

It is not a de Polignac number, because 56643 - 2⁵ = 56611 is a prime.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56633) 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, 118 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (9600).

2⁵⁶⁶⁴³ is an apocalyptic number.

56643 is a deficient number, since it is larger than the sum of its proper divisors (20157).

56643 is a wasteful number, since it uses less digits than its factorization.

56643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321.

The product of its digits is 2160, while the sum is 24.

The square root of 56643 is about 237.9978991504. The cubic root of 56643 is about 38.4044970862.

The spelling of 56643 in words is "fifty-six thousand, six hundred forty-three".