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2217317 is a prime number
BaseRepresentation
bin1000011101010101100101
311011122120212
420131111211
51031423232
6115305205
724563324
oct10352545
94148525
102217317
1112849a3
128ab205
135c832b
1441a0bb
152dbeb2
hex21d565

2217317 has 2 divisors, whose sum is σ = 2217318. Its totient is φ = 2217316.

The previous prime is 2217301. The next prime is 2217329. The reversal of 2217317 is 7137122.

2217317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2217121 + 196 = 1489^2 + 14^2 .

It is a cyclic number.

It is not a de Polignac number, because 2217317 - 24 = 2217301 is a prime.

It is a d-powerful number, because it can be written as 25 + 221 + 1 + 74 + 34 + 1 + 76 .

It is a junction number, because it is equal to n+sod(n) for n = 2217292 and 2217301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2217217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1108658 + 1108659.

It is an arithmetic number, because the mean of its divisors is an integer number (1108659).

22217317 is an apocalyptic number.

It is an amenable number.

2217317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2217317 is an equidigital number, since it uses as much as digits as its factorization.

2217317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 588, while the sum is 23.

The square root of 2217317 is about 1489.0658145294. The cubic root of 2217317 is about 130.3995008261.

The spelling of 2217317 in words is "two million, two hundred seventeen thousand, three hundred seventeen".