32821 has 4 divisors (see below), whose sum is σ = 34272. Its totient is φ = 31372.

The previous prime is 32803. The next prime is 32831. The reversal of 32821 is 12823.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 32821 - 2⁵ = 32789 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32795 and 32804.

It is a congruent number.

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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 691 + ... + 736.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2³²⁸²¹ is an apocalyptic number.

It is an amenable number.

32821 is a deficient number, since it is larger than the sum of its proper divisors (1451).

32821 is a wasteful number, since it uses less digits than its factorization.

32821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450.

The product of its digits is 96, while the sum is 16.

The square root of 32821 is about 181.1656700371. The cubic root of 32821 is about 32.0172433109.

The spelling of 32821 in words is "thirty-two thousand, eight hundred twenty-one".