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I'm using some of the features of MS Outlook on my iDevices - mail and contacts. They're syncing without problems. There's an app for Outlook emails, afaik, but you also can set it up in Settings on your iPhone and use the built in Mail app. That way, you can also sync your contacts, calendar events, reminders and notes to your iPhone, and they'll show up in the built in Apple apps. I don't have any experience if syncing calendars, notes or reminders work well, so hopefully someone else can tell you about it.