820441683 has 16 divisors (see below), whose sum is σ = 1215947040. Its totient is φ = 546746112.

The previous prime is 820441673. The next prime is 820441711. The reversal of 820441683 is 386144028.

It is not a de Polignac number, because 820441683 - 2⁶ = 820441619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820441613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95035 + ... + 103307.

It is an arithmetic number, because the mean of its divisors is an integer number (75996690).

Almost surely, 2^820441683 is an apocalyptic number.

820441683 is a deficient number, since it is larger than the sum of its proper divisors (395505357).

820441683 is a wasteful number, since it uses less digits than its factorization.

820441683 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11955 (or 11949 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 820441683 is about 28643.3532080307. The cubic root of 820441683 is about 936.1581853787.

The spelling of 820441683 in words is "eight hundred twenty million, four hundred forty-one thousand, six hundred eighty-three".