711342241 has 9 divisors (see below), whose sum is σ = 720171571. Its totient is φ = 702620824.

The previous prime is 711342221. The next prime is 711342253. The reversal of 711342241 is 142243117.

The square root of 711342241 is 26671.

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., 83338641 + 628003600 = 9129^2 + 25060^2 .

It is not a de Polignac number, because 711342241 - 2¹¹ = 711340193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (711342211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3973890 + ... + 3974068.

Almost surely, 2^711342241 is an apocalyptic number.

711342241 is the 26671-st square number.

711342241 is the 13336-th centered octagonal number.

It is an amenable number.

711342241 is a deficient number, since it is larger than the sum of its proper divisors (8829330).

711342241 is an frugal number, since it uses more digits than its factorization.

711342241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 328 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The cubic root of 711342241 is about 892.6739600281.

Multiplying 711342241 by its sum of digits (25), we get a square (17783556025 = 133355²).

Adding to 711342241 its reverse (142243117), we get a palindrome (853585358).

The spelling of 711342241 in words is "seven hundred eleven million, three hundred forty-two thousand, two hundred forty-one".