821327 has 4 divisors (see below), whose sum is σ = 884520. Its totient is φ = 758136.

The previous prime is 821311. The next prime is 821329. The reversal of 821327 is 723128.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 821327 - 2⁴ = 821311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31577 + ... + 31602.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

2⁸²¹³²⁷ is an apocalyptic number.

821327 is a deficient number, since it is larger than the sum of its proper divisors (63193).

821327 is a wasteful number, since it uses less digits than its factorization.

821327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63192.

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

The square root of 821327 is about 906.2709307928. The cubic root of 821327 is about 93.6494792209.

The spelling of 821327 in words is "eight hundred twenty-one thousand, three hundred twenty-seven".