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45000017 is a prime number
BaseRepresentation
bin1010101110101…
…0010101010001
310010200020102022
42223222111101
543010000032
64244301225
71054331246
oct253522521
9103606368
1045000017
11234461a7
12130a1815
13942763a
145d955cd
153e3d512
hex2aea551

45000017 has 2 divisors, whose sum is σ = 45000018. Its totient is φ = 45000016.

The previous prime is 44999971. The next prime is 45000019. The reversal of 45000017 is 71000054.

It is a happy number.

45000017 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., 37650496 + 7349521 = 6136^2 + 2711^2 .

It is a cyclic number.

It is not a de Polignac number, because 45000017 - 26 = 44999953 is a prime.

Together with 45000019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 44999959 and 45000004.

It is not a weakly prime, because it can be changed into another prime (45000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22500008 + 22500009.

It is an arithmetic number, because the mean of its divisors is an integer number (22500009).

Almost surely, 245000017 is an apocalyptic number.

It is an amenable number.

45000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

45000017 is an equidigital number, since it uses as much as digits as its factorization.

45000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 45000017 is about 6708.2051996044. The cubic root of 45000017 is about 355.6893752395.

The spelling of 45000017 in words is "forty-five million, seventeen", and thus it is an aban number and an uban number.