327743655121 has 27 divisors (see below), whose sum is σ = 358585248411. Its totient is φ = 299498765328.

The previous prime is 327743655089. The next prime is 327743655133. The reversal of 327743655121 is 121556347723.

The square root of 327743655121 is 572489.

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

It can be written as a sum of positive squares in only one way, i.e., 171860822721 + 155882832400 = 414561^2 + 394820^2 .

It is not a de Polignac number, because 327743655121 - 2⁵ = 327743655089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (327743655191) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 315440920 + ... + 315441958.

Almost surely, 2^327743655121 is an apocalyptic number.

327743655121 is the 572489-th square number.

327743655121 is the 286245-th centered octagonal number.

It is an amenable number.

327743655121 is a deficient number, since it is larger than the sum of its proper divisors (30841593290).

327743655121 is an frugal number, since it uses more digits than its factorization.

327743655121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 1087 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 46.

The spelling of 327743655121 in words is "three hundred twenty-seven billion, seven hundred forty-three million, six hundred fifty-five thousand, one hundred twenty-one".