17170920975961 has 27 divisors (see below), whose sum is σ = 18212105803359. Its totient is φ = 16188393206832.

The previous prime is 17170920975959. The next prime is 17170920975991. The reversal of 17170920975961 is 16957902907171.

The square root of 17170920975961 is 4143781.

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., 9004014447561 + 8166906528400 = 3000669^2 + 2857780^2 .

It is not a de Polignac number, because 17170920975961 - 2¹ = 17170920975959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17170920975893 and 17170920975902.

It is not an unprimeable number, because it can be changed into a prime (17170920975991) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5167293246 + ... + 5167296568.

Almost surely, 2^{17170920975961} is an apocalyptic number.

17170920975961 is the 4143781-st square number.

17170920975961 is the 2071891-st centered octagonal number.

It is an amenable number.

17170920975961 is a deficient number, since it is larger than the sum of its proper divisors (1041184827398).

17170920975961 is an frugal number, since it uses more digits than its factorization.

17170920975961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 15002820, while the sum is 64.

The spelling of 17170920975961 in words is "seventeen trillion, one hundred seventy billion, nine hundred twenty million, nine hundred seventy-five thousand, nine hundred sixty-one".