Search a number
-
+
2105417 is a prime number
BaseRepresentation
bin1000000010000001001001
310221222002102
420002001021
51014333132
6113043145
723616146
oct10020111
93858072
102105417
111208916
128564b5
13589412
143cb3cd
152b8c62
hex202049

2105417 has 2 divisors, whose sum is σ = 2105418. Its totient is φ = 2105416.

The previous prime is 2105413. The next prime is 2105419. The reversal of 2105417 is 7145012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2105401 + 16 = 1451^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105417 - 22 = 2105413 is a prime.

Together with 2105419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2105413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052708 + 1052709.

It is an arithmetic number, because the mean of its divisors is an integer number (1052709).

22105417 is an apocalyptic number.

It is an amenable number.

2105417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105417 is an equidigital number, since it uses as much as digits as its factorization.

2105417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 2105417 is about 1451.0055134285. The cubic root of 2105417 is about 128.1679314391.

The spelling of 2105417 in words is "two million, one hundred five thousand, four hundred seventeen".