32721 has 8 divisors (see below), whose sum is σ = 47040. Its totient is φ = 20112.

The previous prime is 32719. The next prime is 32749. The reversal of 32721 is 12723.

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

It is not a de Polignac number, because 32721 - 2¹ = 32719 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 32721.

It is not an unprimeable number, because it can be changed into a prime (32771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2³²⁷²¹ is an apocalyptic number.

It is an amenable number.

32721 is a deficient number, since it is larger than the sum of its proper divisors (14319).

32721 is a wasteful number, since it uses less digits than its factorization.

32721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855.

The product of its digits is 84, while the sum is 15.

The square root of 32721 is about 180.8894690135. The cubic root of 32721 is about 31.9846932002.

The spelling of 32721 in words is "thirty-two thousand, seven hundred twenty-one".