617116321 has 12 divisors (see below), whose sum is σ = 635665044. Its totient is φ = 598946400.

The previous prime is 617116319. The next prime is 617116351. The reversal of 617116321 is 123611716.

It can be written as a sum of positive squares in 2 ways, for example, as 211295296 + 405821025 = 14536^2 + 20145^2 .

It is not a de Polignac number, because 617116321 - 2¹ = 617116319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 617116321.

It is not an unprimeable number, because it can be changed into a prime (617116301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379891 + ... + 381511.

It is an arithmetic number, because the mean of its divisors is an integer number (52972087).

Almost surely, 2^617116321 is an apocalyptic number.

617116321 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

617116321 is a deficient number, since it is larger than the sum of its proper divisors (18548723).

617116321 is an equidigital number, since it uses as much as digits as its factorization.

617116321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1761 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The square root of 617116321 is about 24841.8260399674. The cubic root of 617116321 is about 851.3778442098.

The spelling of 617116321 in words is "six hundred seventeen million, one hundred sixteen thousand, three hundred twenty-one".