Androgen Deprivation Therapy Prior to Prostatectomy for Patients With Intermediate and High Risk Prostate Cancer

Inclusion Criteria: * Histologic confirmation of prostatic adenocarcinoma by MSKCC inclusive of the following: * 3 or more positive biopsy cores or equivalent tumor specimen as confirmed by pathologist * At least 2 cores containing ≥3 mm of tissue with carcinoma or equivalent tumor specimen as confirmed by pathologist * A primary tumor Gleason score ≥ 7 * Adequate primary biopsy tissue or equivalent tumor specimen as confirmed by pathologist available for protocol required analysis (i.e. bladder or TURP specimen) * Planning to have or have had a radical prostatectomy (RP) at MSKCC * Candidates may have a history of deep vein thrombosis, pulmonary embolism, and/or cerebrovascular accident, or require concomitant systemic anticoagulation, if otherwise deemed to be suitable for RP * Karnofsky performance status \>70% (Appendix A) * Sexually active fertile subjects, and their partners, must agree to use medically accepted methods of contraception (eg, barrier methods, including male condom, female condom, or diaphragm with spermicidal gel) during the course of the study and for 3 months after the dose of study drug(s) for Cohorts 1 , 2 and 4, and for 3 months after the surgery for Cohort 3 * For cohorts 1,2 and 4 only:, non-castrate testosterone level (\>100 ng/dL) * For cohort 3 only:, 1-6 months of androgen deprivation therapy (gonadotropin hormone releasing analogs with or without an anti-androgen) prior to prostatectomy with a castrate testosterone level of \<50 ng/dL within 1 month prior to prostatectomy. Exclusion Criteria: * Histologic variants in the primary tumor (histologic variants other than adenocarcinoma) * Current or prior chemotherapy * The use of the 5-alpha-reductase inhibitor dutasteride must be discontinued within 4 weeks of degarelix injection for Cohort 1, 2 and 4, and within 4 weeks of surgery for Cohort 3. * Saw palmetto administered with the intent to treat the patient's malignancy within 1 week of degarelix injection for Cohorts 1, 2 and 4, and for within 1 week of surgery for Cohort 3 * Current or prior radiation therapy to the prostate * Active infection or intercurrent illness * Concomitant therapy with any other experimental drug * For cohorts 1, 2 and 4 only:, current or prior hormonal therapy (e.g., gonadotropin hormone releasing analogs, megestrol acetate, or antiandrogens) are exclusionary