According to PA Media, 1,081 of these complaints referred to an episode last week in which Danny was announced as entering the villa and took Kaz Kamwi and Sharon Gaffka on a date.
The rest of the complaints were about an episode three days later.
Apologising in a statement last week, Danny – who was dumped from Love Island in Wednesday night’s episode – said: “I’d like to take the time to apologise to anyone that may have taken offence to my inappropriate remark. I never meant anything malicious by this comment at all. I am not a racist person and it’s unacceptable language and ignorant.
“I meant no offence and feel like I have really learnt from my mistakes and will never use that word again.”
As is standard procedure, Ofcom will assess these complaints before deciding whether to take the matter any further.
Love Island continues on Thursday night at 9pm on ITV2.