Intel Corp. has approached Apple Inc. about securing an investment in the ailing chipmaker, according to people familiar with the matter, as part of efforts to bolster a business that’s now partially owned by the government.

Apple and Intel also have discussed how to work more closely together, said the people, who asked not to be identified because the deliberations are private. The talks have been early-stage and may not lead to an agreement, the people said.

Shares of Intel rose 4% in premarket trading on Thursday. They closed 6.4% higher at $31.22 in New York on Wednesday after Bloomberg News reported the discussions. Apple closed down less than 1% at $252.31.

Such a deal would follow a $5-billion investment last week by Nvidia Corp., which plans to work with Intel on chips for pers

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