820159431 has 32 divisors (see below), whose sum is σ = 1349537280. Its totient is φ = 431443584.

The previous prime is 820159421. The next prime is 820159463. The reversal of 820159431 is 134951028.

820159431 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 820159431 - 2²⁵ = 786604999 is a prime.

It is a super-2 number, since 2×820159431² = 1345322984516487522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 820159392 and 820159401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820159421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102336 + ... + 110058.

It is an arithmetic number, because the mean of its divisors is an integer number (42173040).

Almost surely, 2^820159431 is an apocalyptic number.

820159431 is a deficient number, since it is larger than the sum of its proper divisors (529377849).

820159431 is a wasteful number, since it uses less digits than its factorization.

820159431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 820159431 is about 28638.4257772665. The cubic root of 820159431 is about 936.0508192968.

The spelling of 820159431 in words is "eight hundred twenty million, one hundred fifty-nine thousand, four hundred thirty-one".