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103289 is a prime number
BaseRepresentation
bin11001001101111001
312020200112
4121031321
511301124
62114105
7610064
oct311571
9166615
10103289
117066a
124b935
1338024
14298db
152090e
hex19379

103289 has 2 divisors, whose sum is σ = 103290. Its totient is φ = 103288.

The previous prime is 103237. The next prime is 103291. The reversal of 103289 is 982301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60025 + 43264 = 245^2 + 208^2 .

It is an emirp because it is prime and its reverse (982301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103289 is a prime.

Together with 103291, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103289.

It is not a weakly prime, because it can be changed into another prime (103889) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51644 + 51645.

It is an arithmetic number, because the mean of its divisors is an integer number (51645).

2103289 is an apocalyptic number.

It is an amenable number.

103289 is a deficient number, since it is larger than the sum of its proper divisors (1).

103289 is an equidigital number, since it uses as much as digits as its factorization.

103289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 103289 is about 321.3860606809. The cubic root of 103289 is about 46.9192820062.

The spelling of 103289 in words is "one hundred three thousand, two hundred eighty-nine".