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42000017 is a prime number
BaseRepresentation
bin1010000000110…
…1111010010001
32221000211012012
42200031322101
541223000032
64100112305
71016665013
oct240157221
987024165
1042000017
1121787264
1212095695
138916ca7
1458141b3
153a496b2
hex280de91

42000017 has 2 divisors, whose sum is σ = 42000018. Its totient is φ = 42000016.

The previous prime is 42000011. The next prime is 42000019. The reversal of 42000017 is 71000024.

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., 21242881 + 20757136 = 4609^2 + 4556^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42000017 is a prime.

Together with 42000019, 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 = 41999965 and 42000010.

It is not a weakly prime, because it can be changed into another prime (42000011) 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, 21000008 + 21000009.

It is an arithmetic number, because the mean of its divisors is an integer number (21000009).

Almost surely, 242000017 is an apocalyptic number.

It is an amenable number.

42000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

42000017 is an equidigital number, since it uses as much as digits as its factorization.

42000017 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 42000017 is about 6480.7420099862. The cubic root of 42000017 is about 347.6027113874.

The spelling of 42000017 in words is "forty-two million, seventeen", and thus it is an aban number and an uban number.