806883 has 24 divisors (see below), whose sum is σ = 1368000. Its totient is φ = 418320.

The previous prime is 806857. The next prime is 806893. The reversal of 806883 is 388608.

It is not a de Polignac number, because 806883 - 2⁹ = 806371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

806883 is a lucky number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 806883.

It is not an unprimeable number, because it can be changed into a prime (806893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368 + ... + 1866.

It is an arithmetic number, because the mean of its divisors is an integer number (57000).

2⁸⁰⁶⁸⁸³ is an apocalyptic number.

806883 is a deficient number, since it is larger than the sum of its proper divisors (561117).

806883 is a wasteful number, since it uses less digits than its factorization.

806883 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 806883 is about 898.2666641928. The cubic root of 806883 is about 93.0972505642.

It can be divided in two parts, 80688 and 3, that multiplied together give a square (242064 = 492²).

The spelling of 806883 in words is "eight hundred six thousand, eight hundred eighty-three".