816827 has 4 divisors (see below), whose sum is σ = 891096. Its totient is φ = 742560.

The previous prime is 816821. The next prime is 816839. The reversal of 816827 is 728618.

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 816827 - 2⁴ = 816811 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 816793 and 816802.

It is not an unprimeable number, because it can be changed into a prime (816821) 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, 37118 + ... + 37139.

It is an arithmetic number, because the mean of its divisors is an integer number (222774).

2⁸¹⁶⁸²⁷ is an apocalyptic number.

816827 is a deficient number, since it is larger than the sum of its proper divisors (74269).

816827 is a wasteful number, since it uses less digits than its factorization.

816827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74268.

The product of its digits is 5376, while the sum is 32.

The square root of 816827 is about 903.7848195229. The cubic root of 816827 is about 93.4781326653.

Subtracting from 816827 its reverse (728618), we obtain a square (88209 = 297²).

The spelling of 816827 in words is "eight hundred sixteen thousand, eight hundred twenty-seven".