2914164289 has 9 divisors (see below), whose sum is σ = 2997108387. Its totient is φ = 2833459704.

The previous prime is 2914164287. The next prime is 2914164301. The reversal of 2914164289 is 9824614192.

The square root of 2914164289 is 53983.

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

2914164289 is digitally balanced in base 2, 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., 2607634225 + 306530064 = 51065^2 + 17508^2 .

It is not a de Polignac number, because 2914164289 - 2¹ = 2914164287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2914164283) 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, 1996642 + ... + 1998100.

It is an arithmetic number, because the mean of its divisors is an integer number (333012043).

Almost surely, 2^2914164289 is an apocalyptic number.

2914164289 is the 53983-rd square number.

2914164289 is the 26992-nd centered octagonal number.

It is an amenable number.

2914164289 is a deficient number, since it is larger than the sum of its proper divisors (82944098).

2914164289 is an frugal number, since it uses more digits than its factorization.

2914164289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 1496 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The cubic root of 2914164289 is about 1428.3610886158.

The spelling of 2914164289 in words is "two billion, nine hundred fourteen million, one hundred sixty-four thousand, two hundred eighty-nine".