1617728841 has 45 divisors (see below), whose sum is σ = 2499919653. Its totient is φ = 1042528320.

The previous prime is 1617728839. The next prime is 1617728947. The reversal of 1617728841 is 1488277161.

The square root of 1617728841 is 40221.

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

1617728841 is a `hidden beast` number, since 1 + 617 + 7 + 28 + 8 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 202464441 + 1415264400 = 14229^2 + 37620^2 .

It is not a de Polignac number, because 1617728841 - 2¹ = 1617728839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1617728821) 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 44 ways as a sum of consecutive naturals, for example, 14841495 + ... + 14841603.

Almost surely, 2^1617728841 is an apocalyptic number.

1617728841 is the 40221-st square number.

1617728841 is the 20111-st centered octagonal number.

It is an amenable number.

1617728841 is a deficient number, since it is larger than the sum of its proper divisors (882190812).

1617728841 is an frugal number, since it uses more digits than its factorization.

1617728841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 153 counting only the distinct ones).

The product of its digits is 150528, while the sum is 45.

The cubic root of 1617728841 is about 1173.9111907974.

The spelling of 1617728841 in words is "one billion, six hundred seventeen million, seven hundred twenty-eight thousand, eight hundred forty-one".