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38639 is a prime number
BaseRepresentation
bin1001011011101111
31222000002
421123233
52214024
6454515
7220436
oct113357
958002
1038639
1127037
121a43b
1314783
141011d
15b6ae
hex96ef

38639 has 2 divisors, whose sum is σ = 38640. Its totient is φ = 38638.

The previous prime is 38629. The next prime is 38651. The reversal of 38639 is 93683.

It is a weak prime.

It is an emirp because it is prime and its reverse (93683) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38639 - 212 = 34543 is a prime.

It is a super-3 number, since 3×386393 = 173060872533357, which contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a plaindrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38639.

It is not a weakly prime, because it can be changed into another prime (38609) 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, 19319 + 19320.

It is an arithmetic number, because the mean of its divisors is an integer number (19320).

238639 is an apocalyptic number.

38639 is a deficient number, since it is larger than the sum of its proper divisors (1).

38639 is an equidigital number, since it uses as much as digits as its factorization.

38639 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 29.

The square root of 38639 is about 196.5680543730. The cubic root of 38639 is about 33.8071550974.

The spelling of 38639 in words is "thirty-eight thousand, six hundred thirty-nine".