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10767313 is a prime number
BaseRepresentation
bin101001000100…
…101111010001
3202021000222101
4221010233101
510224023223
61022440401
7160343404
oct51045721
922230871
1010767313
116094707
123733101
1322ccbbb
141603d3b
15e2a4ad
hexa44bd1

10767313 has 2 divisors, whose sum is σ = 10767314. Its totient is φ = 10767312.

The previous prime is 10767287. The next prime is 10767331. The reversal of 10767313 is 31376701.

Together with next prime (10767331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10445824 + 321489 = 3232^2 + 567^2 .

It is an emirp because it is prime and its reverse (31376701) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10767313 is a prime.

It is a zygodrome in base 13.

It is not a weakly prime, because it can be changed into another prime (10767373) 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, 5383656 + 5383657.

It is an arithmetic number, because the mean of its divisors is an integer number (5383657).

Almost surely, 210767313 is an apocalyptic number.

It is an amenable number.

10767313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10767313 is an equidigital number, since it uses as much as digits as its factorization.

10767313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 10767313 is about 3281.3584077330. The cubic root of 10767313 is about 220.8186646797.

The spelling of 10767313 in words is "ten million, seven hundred sixty-seven thousand, three hundred thirteen".