820416291 has 8 divisors (see below), whose sum is σ = 1094145024. Its totient is φ = 546815880.

The previous prime is 820416283. The next prime is 820416301. The reversal of 820416291 is 192614028.

820416291 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 820416291 - 2³ = 820416283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820416211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16011 + ... + 43556.

It is an arithmetic number, because the mean of its divisors is an integer number (136768128).

Almost surely, 2^820416291 is an apocalyptic number.

820416291 is a deficient number, since it is larger than the sum of its proper divisors (273728733).

820416291 is a wasteful number, since it uses less digits than its factorization.

820416291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64161.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 820416291 is about 28642.9099604073. The cubic root of 820416291 is about 936.1485275020.

The spelling of 820416291 in words is "eight hundred twenty million, four hundred sixteen thousand, two hundred ninety-one".