38201 has 2 divisors, whose sum is σ = 38202. Its totient is φ = 38200.

The previous prime is 38197. The next prime is 38219. The reversal of 38201 is 10283.

38201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 7225 = 176^2 + 85^2 .

It is a cyclic number.

It is not a de Polignac number, because 38201 - 2^{2} = 38197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 11.

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 38201.

It is not a weakly prime, because it can be changed into another prime (38231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19100 + 19101.

It is an arithmetic number, because the mean of its divisors is an integer number (19101).

2^{38201} is an apocalyptic number.

It is an amenable number.

38201 is a deficient number, since it is larger than the sum of its proper divisors (1).

38201 is an equidigital number, since it uses as much as digits as its factorization.

38201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 38201 is about 195.4507610627. The cubic root of 38201 is about 33.6789267942.

Adding to 38201 its reverse (10283), we get a palindrome (48484).

The spelling of 38201 in words is "thirty-eight thousand, two hundred one".

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