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42727 is a prime number
BaseRepresentation
bin1010011011100111
32011121111
422123213
52331402
6525451
7235366
oct123347
964544
1042727
112a113
1220887
13165a9
14117dd
15c9d7
hexa6e7

42727 has 2 divisors, whose sum is σ = 42728. Its totient is φ = 42726.

The previous prime is 42719. The next prime is 42737. The reversal of 42727 is 72724.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 42727 - 23 = 42719 is a prime.

It is a Chen prime.

It is an Ulam number.

42727 is a lucky number.

It is equal to p4468 and since 42727 and 4468 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 8 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 42698 and 42707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21363 + 21364.

It is an arithmetic number, because the mean of its divisors is an integer number (21364).

242727 is an apocalyptic number.

42727 is a deficient number, since it is larger than the sum of its proper divisors (1).

42727 is an equidigital number, since it uses as much as digits as its factorization.

42727 is an evil number, because the sum of its binary digits is even.

The product of its digits is 784, while the sum is 22.

The square root of 42727 is about 206.7051039525. The cubic root of 42727 is about 34.9596814637.

It can be divided in two parts, 427 and 27, that added together give a palindrome (454).

The spelling of 42727 in words is "forty-two thousand, seven hundred twenty-seven", and thus it is an iban number.