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38629 is a prime number
BaseRepresentation
bin1001011011100101
31221222201
421123211
52214004
6454501
7220423
oct113345
957881
1038629
1127028
121a431
1314776
1410113
15b6a4
hex96e5

38629 has 2 divisors, whose sum is σ = 38630. Its totient is φ = 38628.

The previous prime is 38611. The next prime is 38639. The reversal of 38629 is 92683.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 16129 = 150^2 + 127^2 .

It is an emirp because it is prime and its reverse (92683) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38629 - 27 = 38501 is a prime.

38629 is a lucky number.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 38597 and 38606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19314 + 19315.

It is an arithmetic number, because the mean of its divisors is an integer number (19315).

238629 is an apocalyptic number.

It is an amenable number.

38629 is a deficient number, since it is larger than the sum of its proper divisors (1).

38629 is an equidigital number, since it uses as much as digits as its factorization.

38629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

The square root of 38629 is about 196.5426162439. The cubic root of 38629 is about 33.8042383490.

The spelling of 38629 in words is "thirty-eight thousand, six hundred twenty-nine".