53617 has 2 divisors, whose sum is σ = 53618. Its totient is φ = 53616.

The previous prime is 53611. The next prime is 53623. The reversal of 53617 is 71635.

53617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (53611) and next prime (53623).

It can be written as a sum of positive squares in only one way, i.e., 53361 + 256 = 231^2 + 16^2 .

53617 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 53617 - 2³ = 53609 is a prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (53611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26808 + 26809.

It is an arithmetic number, because the mean of its divisors is an integer number (26809).

2⁵³⁶¹⁷ is an apocalyptic number.

It is an amenable number.

53617 is a deficient number, since it is larger than the sum of its proper divisors (1).

53617 is an equidigital number, since it uses as much as digits as its factorization.

53617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 630, while the sum is 22.

The square root of 53617 is about 231.5534495532. The cubic root of 53617 is about 37.7080583262.

The spelling of 53617 in words is "fifty-three thousand, six hundred seventeen".