806827 has 8 divisors (see below), whose sum is σ = 934400. Its totient is φ = 682344.

The previous prime is 806821. The next prime is 806857. The reversal of 806827 is 728608.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-806827 is a prime.

It is a Duffinian number.

806827 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (806821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177 + ... + 1282.

It is an arithmetic number, because the mean of its divisors is an integer number (116800).

2⁸⁰⁶⁸²⁷ is an apocalyptic number.

806827 is a deficient number, since it is larger than the sum of its proper divisors (127573).

806827 is a wasteful number, since it uses less digits than its factorization.

806827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 806827 is about 898.2354925074. The cubic root of 806827 is about 93.0950967754.

The spelling of 806827 in words is "eight hundred six thousand, eight hundred twenty-seven".