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42872117 is a prime number
BaseRepresentation
bin1010001110001…
…0110100110101
32222200010111012
42203202310311
541433401432
64130522005
71030256411
oct243426465
988603435
1042872117
1122222502
1212436305
138b60c22
14599dd41
153b6ccb2
hex28e2d35

42872117 has 2 divisors, whose sum is σ = 42872118. Its totient is φ = 42872116.

The previous prime is 42872099. The next prime is 42872149. The reversal of 42872117 is 71127824.

It is a happy number.

42872117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (42872149) can be obtained adding 42872117 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41809156 + 1062961 = 6466^2 + 1031^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42872117 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42872017) 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, 21436058 + 21436059.

It is an arithmetic number, because the mean of its divisors is an integer number (21436059).

Almost surely, 242872117 is an apocalyptic number.

It is an amenable number.

42872117 is a deficient number, since it is larger than the sum of its proper divisors (1).

42872117 is an equidigital number, since it uses as much as digits as its factorization.

42872117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6272, while the sum is 32.

The square root of 42872117 is about 6547.6802762505. The cubic root of 42872117 is about 349.9921549262.

The spelling of 42872117 in words is "forty-two million, eight hundred seventy-two thousand, one hundred seventeen".