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38393 is a prime number
BaseRepresentation
bin1001010111111001
31221122222
421113321
52212033
6453425
7216635
oct112771
957588
1038393
1126933
121a275
1314624
14ddc5
15b598
hex95f9

38393 has 2 divisors, whose sum is σ = 38394. Its totient is φ = 38392.

The previous prime is 38377. The next prime is 38431. The reversal of 38393 is 39383.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29929 + 8464 = 173^2 + 92^2 .

It is an emirp because it is prime and its reverse (39383) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38393 - 24 = 38377 is a prime.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38393.

It is not a weakly prime, because it can be changed into another prime (38303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19196 + 19197.

It is an arithmetic number, because the mean of its divisors is an integer number (19197).

238393 is an apocalyptic number.

It is an amenable number.

38393 is a deficient number, since it is larger than the sum of its proper divisors (1).

38393 is an equidigital number, since it uses as much as digits as its factorization.

38393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 26.

The square root of 38393 is about 195.9413177459. The cubic root of 38393 is about 33.7352564775.

Subtracting 38393 from its reverse (39383), we obtain a triangular number (990 = T44).

The spelling of 38393 in words is "thirty-eight thousand, three hundred ninety-three".