1629817641 has 9 divisors (see below), whose sum is σ = 2354355991. Its totient is φ = 1086464352.

The previous prime is 1629817639. The next prime is 1629817649. The reversal of 1629817641 is 1467189261.

The square root of 1629817641 is 40371.

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

1629817641 is a `hidden beast` number, since 1 + 629 + 8 + 17 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1629333225 + 484416 = 40365^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1629817641 - 2¹ = 1629817639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1629817649) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114385 + ... + 127841.

Almost surely, 2^1629817641 is an apocalyptic number.

1629817641 is the 40371-st square number.

1629817641 is the 20186-th centered octagonal number.

It is an amenable number.

1629817641 is a deficient number, since it is larger than the sum of its proper divisors (724538350).

1629817641 is an frugal number, since it uses more digits than its factorization.

1629817641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26920 (or 13460 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The cubic root of 1629817641 is about 1176.8280320855.

The spelling of 1629817641 in words is "one billion, six hundred twenty-nine million, eight hundred seventeen thousand, six hundred forty-one".