616181329 has 9 divisors (see below), whose sum is σ = 624814299. Its totient is φ = 607667040.

The previous prime is 616181317. The next prime is 616181347. The reversal of 616181329 is 923181616.

The square root of 616181329 is 24823.

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., 463411729 + 152769600 = 21527^2 + 12360^2 .

It is not a de Polignac number, because 616181329 - 2⁵ = 616181297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (616181369) 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, 2556649 + ... + 2556889.

It is an arithmetic number, because the mean of its divisors is an integer number (69423811).

Almost surely, 2^616181329 is an apocalyptic number.

616181329 is the 24823-rd square number.

616181329 is the 12412-nd centered octagonal number.

It is an amenable number.

616181329 is a deficient number, since it is larger than the sum of its proper divisors (8632970).

616181329 is an frugal number, since it uses more digits than its factorization.

616181329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 344 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The cubic root of 616181329 is about 850.9476531168.

The spelling of 616181329 in words is "six hundred sixteen million, one hundred eighty-one thousand, three hundred twenty-nine".