•We confirmed the fast spin of (455213) 2001OE84 is 0.486542 h with no change since first measured.•Current estimations of asteroid cohesion are insufficient to maintain an intact rubble pile.•We argue that a monolithic asteroid is the most plausible model.•Constraints applied from collision probabilities and spin evolution, set an age for OE84 between 2-10 Myrs. At a mean diameter of ∼650 m, the near-Earth asteroid (455213) 2001 OE84 (OE84 for short) has a rapid rotation period of 0.486542 ± 0.000002 h, which is uncommon for asteroids larger than ∼200 m. We revisited OE84 14 years after it was first, and last, observed by Pravec et al. (2002) in order to measure again its spin rate and to search for changes. We have confirmed the rapid rotation and, by fitting the photometric data from 2001 and 2016 using the lightcurve inversion technique, we determined a retrograde sense of rotation, with the spin axis close to the ecliptic south pole; an oblate shape model of a/b=1.32±0.04 and b/c=1.8±0.2; and no change in spin rate between 2001 and 2016. Using these parameters we constrained the body’s internal strength, and found that current estimations of asteroid cohesion (up to ∼80 Pa) are insufficient to maintain an intact rubble pile at the measured spin rate of OE84. Therefore, we argue that a monolithic asteroid, that can rotate at the rate of OE84 without shedding mass and without slowing down its spin rate, is the most plausible for OE84, and we give constraints on its age, since the time it was liberated from its parent body, between 2−10 million years.