32643 has 20 divisors (see below), whose sum is σ = 54208. Its totient is φ = 19440.

The previous prime is 32633. The next prime is 32647. The reversal of 32643 is 34623.

It is not a de Polignac number, because 32643 - 2⁵ = 32611 is a prime.

It is an Ulam number.

It is a Duffinian number.

32643 is a lucky number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (32647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1038 + ... + 1068.

2³²⁶⁴³ is an apocalyptic number.

32643 is a deficient number, since it is larger than the sum of its proper divisors (21565).

32643 is a wasteful number, since it uses less digits than its factorization.

32643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 47 counting only the distinct ones).

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

The square root of 32643 is about 180.6737390990. The cubic root of 32643 is about 31.9592580458.

The spelling of 32643 in words is "thirty-two thousand, six hundred forty-three".