2972321361 has 27 divisors (see below), whose sum is σ = 4565029521. Its totient is φ = 1863241344.

The previous prime is 2972321353. The next prime is 2972321369. The reversal of 2972321361 is 1631232792.

The square root of 2972321361 is 54519.

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

2972321361 is a `hidden beast` number, since 297 + 2 + 3 + 2 + 1 + 361 = 666.

It is an interprime number because it is at equal distance from previous prime (2972321353) and next prime (2972321369).

It can be written as a sum of positive squares in 4 ways, for example, as 200930625 + 2771390736 = 14175^2 + 52644^2 .

It is not a de Polignac number, because 2972321361 - 2³ = 2972321353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2972321369) 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, 2779935 + ... + 2781003.

Almost surely, 2^2972321361 is an apocalyptic number.

2972321361 is the 54519-th square number.

2972321361 is the 27260-th centered octagonal number.

It is an amenable number.

2972321361 is a deficient number, since it is larger than the sum of its proper divisors (1592708160).

2972321361 is an equidigital number, since it uses as much as digits as its factorization.

2972321361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 1089 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The cubic root of 2972321361 is about 1437.8003584193.

Multiplying 2972321361 by its sum of digits (36), we get a square (107003568996 = 327114²).

The spelling of 2972321361 in words is "two billion, nine hundred seventy-two million, three hundred twenty-one thousand, three hundred sixty-one".