832821 has 8 divisors (see below), whose sum is σ = 1211424. Its totient is φ = 504720.

The previous prime is 832801. The next prime is 832837. The reversal of 832821 is 128238.

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

It is not a de Polignac number, because 832821 - 2⁶ = 832757 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.

832821 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 832791 and 832800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832801) 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, 12586 + ... + 12651.

It is an arithmetic number, because the mean of its divisors is an integer number (151428).

2⁸³²⁸²¹ is an apocalyptic number.

It is an amenable number.

832821 is a deficient number, since it is larger than the sum of its proper divisors (378603).

832821 is a wasteful number, since it uses less digits than its factorization.

832821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25251.

The product of its digits is 768, while the sum is 24.

The square root of 832821 is about 912.5902695076. The cubic root of 832821 is about 94.0843139696.

It can be divided in two parts, 832 and 821, that added together give a triangular number (1653 = T₅₇).

The spelling of 832821 in words is "eight hundred thirty-two thousand, eight hundred twenty-one".