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42117997 is a prime number
BaseRepresentation
bin1010000010101…
…0101101101101
32221020211000211
42200222231231
541240233442
64102422421
71020665665
oct240525555
987224024
1042117997
1121857969
1212131a11
1389588bc
1458451a5
153a6e617
hex282ab6d

42117997 has 2 divisors, whose sum is σ = 42117998. Its totient is φ = 42117996.

The previous prime is 42117961. The next prime is 42118019. The reversal of 42117997 is 79971124.

42117997 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., 29909961 + 12208036 = 5469^2 + 3494^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42117997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42117197) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21058998 + 21058999.

It is an arithmetic number, because the mean of its divisors is an integer number (21058999).

Almost surely, 242117997 is an apocalyptic number.

It is an amenable number.

42117997 is a deficient number, since it is larger than the sum of its proper divisors (1).

42117997 is an equidigital number, since it uses as much as digits as its factorization.

42117997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 40.

The square root of 42117997 is about 6489.8379794876. The cubic root of 42117997 is about 347.9278844929.

The spelling of 42117997 in words is "forty-two million, one hundred seventeen thousand, nine hundred ninety-seven".