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206972317 is a prime number
BaseRepresentation
bin11000101011000…
…10010110011101
3112102110021122101
430111202112131
5410441103232
632312045101
75062143556
oct1425422635
9472407571
10206972317
11a6915402
1259393791
1333b58a36
141d6b932d
15132851e7
hexc56259d

206972317 has 2 divisors, whose sum is σ = 206972318. Its totient is φ = 206972316.

The previous prime is 206972303. The next prime is 206972323. The reversal of 206972317 is 713279602.

206972317 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., 140043556 + 66928761 = 11834^2 + 8181^2 .

It is a cyclic number.

It is not a de Polignac number, because 206972317 - 219 = 206448029 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (206972357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103486158 + 103486159.

It is an arithmetic number, because the mean of its divisors is an integer number (103486159).

Almost surely, 2206972317 is an apocalyptic number.

It is an amenable number.

206972317 is a deficient number, since it is larger than the sum of its proper divisors (1).

206972317 is an equidigital number, since it uses as much as digits as its factorization.

206972317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 206972317 is about 14386.5324870172. The cubic root of 206972317 is about 591.5217987011.

The spelling of 206972317 in words is "two hundred six million, nine hundred seventy-two thousand, three hundred seventeen".