32791 has 6 divisors (see below), whose sum is σ = 36176. Its totient is φ = 29700.

The previous prime is 32789. The next prime is 32797. The reversal of 32791 is 19723.

It is not a de Polignac number, because 32791 - 2¹ = 32789 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15 + ... + 256.

2³²⁷⁹¹ is an apocalyptic number.

32791 is a deficient number, since it is larger than the sum of its proper divisors (3385).

32791 is a wasteful number, since it uses less digits than its factorization.

32791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its digits is 378, while the sum is 22.

The square root of 32791 is about 181.0828539647. The cubic root of 32791 is about 32.0074852281.

The spelling of 32791 in words is "thirty-two thousand, seven hundred ninety-one".