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205417 is a prime number
BaseRepresentation
bin110010001001101001
3101102210001
4302021221
523033132
64223001
71513612
oct621151
9342701
10205417
11130373
129aa61
1372664
1454c09
1540ce7
hex32269

205417 has 2 divisors, whose sum is σ = 205418. Its totient is φ = 205416.

The previous prime is 205399. The next prime is 205421. The reversal of 205417 is 714502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197136 + 8281 = 444^2 + 91^2 .

It is a cyclic number.

It is not a de Polignac number, because 205417 - 215 = 172649 is a prime.

It is a super-2 number, since 2×2054172 = 84392287778, which contains 22 as substring.

It is a Chen prime.

It is equal to p18415 and since 205417 and 18415 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 = 205394 and 205403.

It is not a weakly prime, because it can be changed into another prime (205427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102708 + 102709.

It is an arithmetic number, because the mean of its divisors is an integer number (102709).

2205417 is an apocalyptic number.

It is an amenable number.

205417 is a deficient number, since it is larger than the sum of its proper divisors (1).

205417 is an equidigital number, since it uses as much as digits as its factorization.

205417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 205417 is about 453.2295224277. The cubic root of 205417 is about 59.0036385767.

Adding to 205417 its reverse (714502), we get a palindrome (919919).

The spelling of 205417 in words is "two hundred five thousand, four hundred seventeen".