Nuclide

Nuclide is a "type of atom": a collection of all atoms that have the same number of protons and neutrons in their nuclei, for example, ¹⁹F. Nuclear properties, such as neutron absorption cross-section, half-life of decay, nuclear spin, and atomic mass, are unique for each nuclide. Chemical properties depend only on the number of protons.[1] A group of nuclides with the same number of protons is called an element.

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This article is only a brief description of the subject and is not intended to give a full explanation.
Check out the "see also" or "references" sections, or Wikipedia's article for more detail.

"Nuclide" is probably what most people mean when they say "isotope," which is something different. Two nuclides are isotopes if they have the same number of protons, but a different number of neutrons. This is equivalent to stating that they belong to the same element, so it is possible to say, for example, "isotope of carbon." The big difference is that the word "isotope" expresses a relation between nuclides, so using it alone is not strictly correct: "decay of radioactive isotopes" should actually be "decay of radioactive nuclides."

References

1. To an approximation. Actually the number of neutrons also has an effect, although in most cases it is very small. See heavy water and kinetic isotope effect.