Background Apathy is one of the most common symptoms of Alzheimer's disease (AD), however, correlations of apathy with demographic variables, cognitive functions, neuropsychiatric symptoms, activity of daily living and olfactory functions in AD patients are still lacking comprehensive investigations. Methods This is a cross-sectional study. Total 124 typical AD patients were consecutively recruited from April 2014 to April 2017. In 124 AD patients, 47 cases (37.9%) were male and 77 cases were

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... male; patients' age were 43–93 years with an average of 68 years. Patients were divided into AD with apathy (AD-A) and AD with no apathy (AD-NA) groups according to the score of Modified Apathy Evaluation Scale, then were evaluated cognitive functions, neuropsychiatric symptoms and activity of daily living, and tested olfactory functions. Above variables were compared between AD-A and AD-NA groups. Further correlation analyses and linear regression analysis were performed between apathy and above variables. Results Compared with AD-NA group, global cognitive level, verbal memory, verbal fluency and activity of daily living were significantly compromised in AD-A group (P < 0.002); depression and agitation were severely displayed in AD-A group (P < 0.002). Apathy was negatively correlated with global cognitive function, verbal memory, verbal fluency and activity of daily living (P < 0.05). There was no significant difference of olfactory functions between the two groups (P > 0.002), and correlations between apathy and olfactory threshold, olfactory identification and global olfactory function were significant (P < 0.05) but quite weak (|r| < 0.3). Further linear regression analysis showed that only verbal fluency and instrumental activities of daily living were independently associated with apathy. Conclusions Independent correlations among apathy, verbal fluency and instrumental activities of daily living in AD patients might be related to the common brain area involved in their pathogeneses.