54617 has 2 divisors, whose sum is σ = 54618. Its totient is φ = 54616.

The previous prime is 54601. The next prime is 54623. The reversal of 54617 is 71645.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48841 + 5776 = 221^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 54617 - 2⁴ = 54601 is a prime.

It is a Chen prime.

It is equal to p₅₅₅₈ and since 54617 and 5558 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 54592 and 54601.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54617.

It is not a weakly prime, because it can be changed into another prime (54647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27308 + 27309.

It is an arithmetic number, because the mean of its divisors is an integer number (27309).

2⁵⁴⁶¹⁷ is an apocalyptic number.

It is an amenable number.

54617 is a deficient number, since it is larger than the sum of its proper divisors (1).

54617 is an equidigital number, since it uses as much as digits as its factorization.

54617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 23.

The square root of 54617 is about 233.7028027217. The cubic root of 54617 is about 37.9410443137.

The spelling of 54617 in words is "fifty-four thousand, six hundred seventeen".