32991 has 8 divisors (see below), whose sum is σ = 50304. Its totient is φ = 18840.

The previous prime is 32987. The next prime is 32993. The reversal of 32991 is 19923.

It is a happy number.

32991 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 32991 - 2² = 32987 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32993) 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, 765 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (6288).

2³²⁹⁹¹ is an apocalyptic number.

32991 is a deficient number, since it is larger than the sum of its proper divisors (17313).

32991 is a wasteful number, since it uses less digits than its factorization.

32991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581.

The product of its digits is 486, while the sum is 24.

The square root of 32991 is about 181.6342478719. The cubic root of 32991 is about 32.0724270945.

The spelling of 32991 in words is "thirty-two thousand, nine hundred ninety-one".