32891 has 4 divisors (see below), whose sum is σ = 33984. Its totient is φ = 31800.

The previous prime is 32887. The next prime is 32909. The reversal of 32891 is 19823.

32891 is nontrivially palindromic in base 9.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 19823 = 43 ⋅461.

It is a cyclic number.

It is not a de Polignac number, because 32891 - 2² = 32887 is a prime.

It is a d-powerful number, because it can be written as 3⁴ + 2⁵ + 8⁵ + 9 + 1 .

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32891.

It is not an unprimeable number, because it can be changed into a prime (32801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (8496).

2³²⁸⁹¹ is an apocalyptic number.

32891 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

32891 is a deficient number, since it is larger than the sum of its proper divisors (1093).

32891 is a wasteful number, since it uses less digits than its factorization.

32891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092.

The product of its digits is 432, while the sum is 23.

The square root of 32891 is about 181.3587604722. The cubic root of 32891 is about 32.0399890690.

The spelling of 32891 in words is "thirty-two thousand, eight hundred ninety-one".