Search a number
-
+
216617 is a prime number
BaseRepresentation
bin110100111000101001
3102000010212
4310320221
523412432
64350505
71561352
oct647051
9360125
10216617
11138825
12a5435
137779b
1458d29
15442b2
hex34e29

216617 has 2 divisors, whose sum is σ = 216618. Its totient is φ = 216616.

The previous prime is 216607. The next prime is 216641. The reversal of 216617 is 716612.

216617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212521 + 4096 = 461^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 216617 - 26 = 216553 is a prime.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 216592 and 216601.

It is not a weakly prime, because it can be changed into another prime (216607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108308 + 108309.

It is an arithmetic number, because the mean of its divisors is an integer number (108309).

2216617 is an apocalyptic number.

It is an amenable number.

216617 is a deficient number, since it is larger than the sum of its proper divisors (1).

216617 is an equidigital number, since it uses as much as digits as its factorization.

216617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 23.

The square root of 216617 is about 465.4213145098. The cubic root of 216617 is about 60.0570753192.

The spelling of 216617 in words is "two hundred sixteen thousand, six hundred seventeen".