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10086961 is a prime number
BaseRepresentation
bin100110011110…
…101000110001
3200222110201011
4212132220301
510040240321
61000110521
7151511023
oct46365061
920873634
1010086961
11576a535
123465441
132122321
1414a8013
15d43ae1
hex99ea31

10086961 has 2 divisors, whose sum is σ = 10086962. Its totient is φ = 10086960.

The previous prime is 10086953. The next prime is 10087003. The reversal of 10086961 is 16968001.

It is a happy number.

10086961 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5382400 + 4704561 = 2320^2 + 2169^2 .

It is an emirp because it is prime and its reverse (16968001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10086961 - 23 = 10086953 is a prime.

It is not a weakly prime, because it can be changed into another prime (10086911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5043480 + 5043481.

It is an arithmetic number, because the mean of its divisors is an integer number (5043481).

Almost surely, 210086961 is an apocalyptic number.

It is an amenable number.

10086961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10086961 is an equidigital number, since it uses as much as digits as its factorization.

10086961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 10086961 is about 3175.9976385382. The cubic root of 10086961 is about 216.0661734266.

The spelling of 10086961 in words is "ten million, eighty-six thousand, nine hundred sixty-one".