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42017 is a prime number
BaseRepresentation
bin1010010000100001
32010122012
422100201
52321032
6522305
7233333
oct122041
963565
1042017
1129628
1220395
1316181
1411453
15c6b2
hexa421

42017 has 2 divisors, whose sum is σ = 42018. Its totient is φ = 42016.

The previous prime is 42013. The next prime is 42019. The reversal of 42017 is 71024.

It can be divided in two parts, 420 and 17, that multiplied together give a triangular number (7140 = T119).

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28561 + 13456 = 169^2 + 116^2 .

It is a cyclic number.

It is not a de Polignac number, because 42017 - 22 = 42013 is a prime.

Together with 42019, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 7.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 41992 and 42010.

It is not a weakly prime, because it can be changed into another prime (42013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21008 + 21009.

It is an arithmetic number, because the mean of its divisors is an integer number (21009).

242017 is an apocalyptic number.

It is an amenable number.

42017 is a deficient number, since it is larger than the sum of its proper divisors (1).

42017 is an equidigital number, since it uses as much as digits as its factorization.

42017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 42017 is about 204.9804868762. The cubic root of 42017 is about 34.7649556935.

The spelling of 42017 in words is "forty-two thousand, seventeen", and thus it is an iban number.