It is genetically unrelated to Dravidian languages, but it does have a lot of Dravidian loanwords.
Kannada, Telugu & Malayalam, even pre-dravidan-movement Tamil have lot of borrowed sanskrit vocabulary, but they retain structure of Dravidian languages.
Also most common words used are also Dravidan origin.
For example:
Kannada - Naanu, Tamil - Naan, Telugu - Nenu, Malayalam - Njan
Etc..
Another small thing unique about Dravidian languages is clusivity, there's exclusive 'we' and inclusive 'we'. While modern Kannada, unlike Tamil / Telugu, doesn't retain this feature, some dialects such as Havyaka retain this feature.
There will be always be some influence and loanwords from neighbouring languages but comparative linguistics can tell origin / family of the language pretty accurately.
I am Sinhalese who grew up in Sri Lanka. As such I am exposed to Tamil, but when I watch Tamil TV, at best I can pick few words here and there. But when I watch Hindi show, I understand a lot more due to the structure is very similar to that of Sinhala.
queen: latin = regina. sinhala = regina.
tooth: latin = dente. sinhala = danta.
nose: latin = nasus. sinhala = naasa.
Etc.
For example, English is descended from Old English (a Germanic language), but was very heavily influenced by French (a Romance language, i.e. descended from Latin). The grammatical structure and origin of basic words are still more Germanic than Romance.