2821628161 has 15 divisors (see below), whose sum is σ = 3110857905. Its totient is φ = 2559273420.

The previous prime is 2821628141. The next prime is 2821628171. The reversal of 2821628161 is 1618261282.

The square root of 2821628161 is 53119.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2821628161 - 2¹⁵ = 2821595393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2821628161.

It is not an unprimeable number, because it can be changed into a prime (2821628141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6427180 + ... + 6427618.

It is an arithmetic number, because the mean of its divisors is an integer number (207390527).

Almost surely, 2^2821628161 is an apocalyptic number.

2821628161 is the 53119-th square number.

2821628161 is the 26560-th centered octagonal number.

It is an amenable number.

2821628161 is a deficient number, since it is larger than the sum of its proper divisors (289229744).

2821628161 is an frugal number, since it uses more digits than its factorization.

2821628161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 450 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The cubic root of 2821628161 is about 1413.0794925717.

The spelling of 2821628161 in words is "two billion, eight hundred twenty-one million, six hundred twenty-eight thousand, one hundred sixty-one".