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2105317 is a prime number
BaseRepresentation
bin1000000001111111100101
310221221221201
420001333211
51014332232
6113042501
723615644
oct10017745
93857851
102105317
111208835
12856431
13589366
143cb35b
152b8be7
hex201fe5

2105317 has 2 divisors, whose sum is σ = 2105318. Its totient is φ = 2105316.

The previous prime is 2105287. The next prime is 2105329. The reversal of 2105317 is 7135012.

2105317 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., 2070721 + 34596 = 1439^2 + 186^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105317 - 215 = 2072549 is a prime.

2105317 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2105294 and 2105303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2105347) 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, 1052658 + 1052659.

It is an arithmetic number, because the mean of its divisors is an integer number (1052659).

22105317 is an apocalyptic number.

It is an amenable number.

2105317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105317 is an equidigital number, since it uses as much as digits as its factorization.

2105317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 2105317 is about 1450.9710541565. The cubic root of 2105317 is about 128.1659022296.

The spelling of 2105317 in words is "two million, one hundred five thousand, three hundred seventeen".