827321 has 4 divisors (see below), whose sum is σ = 902544. Its totient is φ = 752100.

The previous prime is 827311. The next prime is 827327. The reversal of 827321 is 123728.

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 a cyclic number.

It is not a de Polignac number, because 827321 - 2¹⁸ = 565177 is a prime.

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 827321.

It is not an unprimeable number, because it can be changed into a prime (827327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37595 + ... + 37616.

It is an arithmetic number, because the mean of its divisors is an integer number (225636).

2⁸²⁷³²¹ is an apocalyptic number.

It is an amenable number.

827321 is a deficient number, since it is larger than the sum of its proper divisors (75223).

827321 is a wasteful number, since it uses less digits than its factorization.

827321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75222.

The product of its digits is 672, while the sum is 23.

The square root of 827321 is about 909.5718773137. The cubic root of 827321 is about 93.8767435372.

The spelling of 827321 in words is "eight hundred twenty-seven thousand, three hundred twenty-one".