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38189 is a prime number
BaseRepresentation
bin1001010100101101
31221101102
421110231
52210224
6452445
7216224
oct112455
957342
1038189
1126768
121a125
13144c8
14dcbb
15b4ae
hex952d

38189 has 2 divisors, whose sum is σ = 38190. Its totient is φ = 38188.

The previous prime is 38183. The next prime is 38197. The reversal of 38189 is 98183.

It is a happy number.

38189 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., 24964 + 13225 = 158^2 + 115^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38189 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 8.

It is a nialpdrome in base 14.

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 38189.

It is not a weakly prime, because it can be changed into another prime (38183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19094 + 19095.

It is an arithmetic number, because the mean of its divisors is an integer number (19095).

238189 is an apocalyptic number.

It is an amenable number.

38189 is a deficient number, since it is larger than the sum of its proper divisors (1).

38189 is an equidigital number, since it uses as much as digits as its factorization.

38189 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 29.

The square root of 38189 is about 195.4200603828. The cubic root of 38189 is about 33.6753999280.

It can be divided in two parts, 3 and 8189, that added together give a 13-th power (8192 = 213).

The spelling of 38189 in words is "thirty-eight thousand, one hundred eighty-nine".