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10067713 is a prime number
BaseRepresentation
bin100110011001…
…111100000001
3200221111022021
4212121330001
510034131323
6555441441
7151400635
oct46317401
920844267
1010067713
115757027
123456281
132116636
1414a0dc5
15d3d05d
hex999f01

10067713 has 2 divisors, whose sum is σ = 10067714. Its totient is φ = 10067712.

The previous prime is 10067711. The next prime is 10067731. The reversal of 10067713 is 31776001.

Together with next prime (10067731) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9199089 + 868624 = 3033^2 + 932^2 .

It is a cyclic number.

It is not a de Polignac number, because 10067713 - 21 = 10067711 is a prime.

Together with 10067711, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10067711) 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, 5033856 + 5033857.

It is an arithmetic number, because the mean of its divisors is an integer number (5033857).

Almost surely, 210067713 is an apocalyptic number.

It is an amenable number.

10067713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10067713 is an equidigital number, since it uses as much as digits as its factorization.

10067713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 10067713 is about 3172.9659626287. The cubic root of 10067713 is about 215.9286529906.

The spelling of 10067713 in words is "ten million, sixty-seven thousand, seven hundred thirteen".