617354346961 has 9 divisors (see below), whose sum is σ = 678589071643. Its totient is φ = 561223367320.

The previous prime is 617354346923. The next prime is 617354346989. The reversal of 617354346961 is 169643453716.

The square root of 617354346961 is 785719.

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., 12537056961 + 604817290000 = 111969^2 + 777700^2 .

It is not a de Polignac number, because 617354346961 - 2¹⁵ = 617354314193 is a prime.

It is a super-2 number, since 2×617354346961² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (617354346901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8607195 + ... + 8678623.

Almost surely, 2^617354346961 is an apocalyptic number.

617354346961 is the 785719-th square number.

617354346961 is the 392860-th centered octagonal number.

It is an amenable number.

617354346961 is a deficient number, since it is larger than the sum of its proper divisors (61234724682).

617354346961 is an frugal number, since it uses more digits than its factorization.

617354346961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142880 (or 71440 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 55.

The spelling of 617354346961 in words is "six hundred seventeen billion, three hundred fifty-four million, three hundred forty-six thousand, nine hundred sixty-one".