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906313 is a prime number
BaseRepresentation
bin11011101010001001001
31201001020011
43131101021
5213000223
631231521
710463212
oct3352111
91631204
10906313
11569a21
123785a1
132596a5
14198409
1512d80d
hexdd449

906313 has 2 divisors, whose sum is σ = 906314. Its totient is φ = 906312.

The previous prime is 906293. The next prime is 906317. The reversal of 906313 is 313609.

906313 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., 906304 + 9 = 952^2 + 3^2 .

It is a cyclic number.

It is not a de Polignac number, because 906313 - 217 = 775241 is a prime.

It is a super-3 number, since 3×9063133 = 2233345341943218891, which contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (906317) 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, 453156 + 453157.

It is an arithmetic number, because the mean of its divisors is an integer number (453157).

2906313 is an apocalyptic number.

It is an amenable number.

906313 is a deficient number, since it is larger than the sum of its proper divisors (1).

906313 is an equidigital number, since it uses as much as digits as its factorization.

906313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 906313 is about 952.0047268790. The cubic root of 906313 is about 96.7741584026.

Subtracting from 906313 its reverse (313609), we obtain a cube (592704 = 843).

The spelling of 906313 in words is "nine hundred six thousand, three hundred thirteen".