610716721 has 16 divisors (see below), whose sum is σ = 660613968. Its totient is φ = 562432000.

The previous prime is 610716697. The next prime is 610716727. The reversal of 610716721 is 127617016.

It can be written as a sum of positive squares in 8 ways, for example, as 29376400 + 581340321 = 5420^2 + 24111^2 .

It is a cyclic number.

It is not a de Polignac number, because 610716721 - 2¹³ = 610708529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (610716727) 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 15 ways as a sum of consecutive naturals, for example, 468771 + ... + 470071.

It is an arithmetic number, because the mean of its divisors is an integer number (41288373).

Almost surely, 2^610716721 is an apocalyptic number.

It is an amenable number.

610716721 is a deficient number, since it is larger than the sum of its proper divisors (49897247).

610716721 is a wasteful number, since it uses less digits than its factorization.

610716721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892.

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 610716721 is about 24712.6834034671. The cubic root of 610716721 is about 848.4246350098.

The spelling of 610716721 in words is "six hundred ten million, seven hundred sixteen thousand, seven hundred twenty-one".