8740193121 has 27 divisors (see below), whose sum is σ = 13881662067. Its totient is φ = 5295216960.

The previous prime is 8740193053. The next prime is 8740193123. The reversal of 8740193121 is 1213910478.

It is a happy number.

The square root of 8740193121 is 93489.

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

8740193121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3431030625 + 5309162496 = 58575^2 + 72864^2 .

It is not a de Polignac number, because 8740193121 - 2¹⁵ = 8740160353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8740193123) 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, 3083721 + ... + 3086553.

Almost surely, 2^8740193121 is an apocalyptic number.

8740193121 is the 93489-th square number.

8740193121 is the 46745-th centered octagonal number.

It is an amenable number.

8740193121 is a deficient number, since it is larger than the sum of its proper divisors (5141468946).

8740193121 is an equidigital number, since it uses as much as digits as its factorization.

8740193121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 8740193121 is about 2059.8725155185.

Multiplying 8740193121 by its sum of digits (36), we get a square (314646952356 = 560934²).

The spelling of 8740193121 in words is "eight billion, seven hundred forty million, one hundred ninety-three thousand, one hundred twenty-one".