820140947 has 16 divisors (see below), whose sum is σ = 874425600. Its totient is φ = 767037600.

The previous prime is 820140943. The next prime is 820140953. The reversal of 820140947 is 749041028.

820140947 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 820140947 - 2² = 820140943 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820140943) 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, 512753 + ... + 514349.

It is an arithmetic number, because the mean of its divisors is an integer number (54651600).

Almost surely, 2^820140947 is an apocalyptic number.

820140947 is a deficient number, since it is larger than the sum of its proper divisors (54284653).

820140947 is a wasteful number, since it uses less digits than its factorization.

820140947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 820140947 is about 28638.1030621792. The cubic root of 820140947 is about 936.0437872927.

The spelling of 820140947 in words is "eight hundred twenty million, one hundred forty thousand, nine hundred forty-seven".