
sagen
to say
To express something orally or in writing; to pronounce words.
Er hat gesagt, dass er um 17 Uhr kommt.
He said that he is coming at 5 p.m.
to say
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to say
To express something orally or in writing; to pronounce words.
Er hat gesagt, dass er um 17 Uhr kommt.
He said that he is coming at 5 p.m.

to tell
To give an opinion, advice, or an instruction.
Sag mir bitte, was du darüber denkst.
Please tell me what you think about it.

to say / indicate
To mean, indicate, or serve as a sign of something.
Ein Lächeln sagt mehr als tausend Worte.
A smile says more than a thousand words.

to be in charge
To have the authority or decision-making power.
In dieser Abteilung hat Frau Meier das Sagen.
In this department, Ms. Meier is in charge.

let's say
Used to make a suggestion, estimate, or assumption.
Treffen wir uns später, sagen wir mal um acht Uhr?
Shall we meet later, let's say at eight o'clock?

to ignore advice
To be stubborn and not accept advice or instructions from others.
Er ist sehr eigensinnig und lässt sich von niemandem etwas sagen.
He is very stubborn and doesn't let anyone tell him anything.
'Sagen' (to say/tell) is very often used with a person in the dative (to whom you say something) and a thing in the accusative (what you say). The structure is: subject + sagen + dative object + accusative object.
Kannst du mir bitte die Uhrzeit sagen?
Can you please tell me the time?
'Sagen' (to say) often introduces subordinate clauses, usually with the conjunction 'dass' (that). In such sentences, the conjugated verb comes at the end of the subordinate clause.
Meine Mutter hat gesagt, dass ich mein Zimmer aufräumen soll.
My mother said that I should tidy up my room.
In the meaning of 'anzeigen' (to indicate) or 'bedeuten' (to mean), a thing or a sign can also be the subject of 'sagen' (to say). It describes what information something communicates.
Was sagt die Statistik über die Arbeitslosigkeit?
What does the statistic say about unemployment?
The idiom 'das Sagen haben' (to be in charge / to have the say) is a fixed unit and means 'die Kontrolle oder Autorität haben' (to have control or authority). The noun 'Sagen' is capitalized here.
Zuhause hat meine Mutter das Sagen.
At home, my mother is in charge.
The expression 'sagen wir mal' (let's say) is a typical insertion in spoken language. You use it to make a suggestion or give an estimate.
Das Projekt dauert noch, sagen wir mal, zwei Wochen.
The project will take another, let's say, two weeks.
The expression 'sich (Dativ) nichts sagen lassen' (to not let anyone tell one anything / to ignore advice) describes a stubborn person. Note that the reflexive pronoun is in the dative here because the person would be the recipient of the advice.
Mein kleiner Bruder ist in der Pubertät und lässt sich nichts mehr sagen.
My little brother is going through puberty and doesn't listen to anyone anymore.
to be called / to mean
Man sagt and es heißt can both introduce an unconfirmed report. With sagen, man functions as a general human speaker in the sentence. Es heißt, by contrast, is a fixed impersonal form in which no speaker is named.

Man sagt, dass das alte Kino bald wieder öffnet.
People say that the old cinema will reopen soon.
Es heißt, dass das alte Kino bald wieder öffnet.
It is said that the old cinema will reopen soon.