820253161 has 24 divisors (see below), whose sum is σ = 1068544320. Its totient is φ = 614817216.

The previous prime is 820253141. The next prime is 820253167. The reversal of 820253161 is 161352028.

It is not a de Polignac number, because 820253161 - 2¹³ = 820244969 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820253167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4231 + ... + 40723.

It is an arithmetic number, because the mean of its divisors is an integer number (44522680).

Almost surely, 2^820253161 is an apocalyptic number.

It is an amenable number.

820253161 is a deficient number, since it is larger than the sum of its proper divisors (248291159).

820253161 is a wasteful number, since it uses less digits than its factorization.

820253161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36545 (or 36532 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 820253161 is about 28640.0621682286. The cubic root of 820253161 is about 936.0864760638.

The spelling of 820253161 in words is "eight hundred twenty million, two hundred fifty-three thousand, one hundred sixty-one".