820683 has 12 divisors (see below), whose sum is σ = 1204008. Its totient is φ = 538560.

The previous prime is 820681. The next prime is 820691. The reversal of 820683 is 386028.

820683 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820683 - 2¹ = 820681 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (820681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (100334).

2⁸²⁰⁶⁸³ is an apocalyptic number.

820683 is a deficient number, since it is larger than the sum of its proper divisors (383325).

820683 is a wasteful number, since it uses less digits than its factorization.

820683 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 820683 is about 905.9155589789. The cubic root of 820683 is about 93.6249960636.

The spelling of 820683 in words is "eight hundred twenty thousand, six hundred eighty-three".