Here are the core qualities that every one of the 24 Tirthankars possesses (shared attributes of a Tirthankar):

• Keval Jnan: infinite, perfect knowledge of all substances and their modes.
• Keval Darshan: infinite, unobstructed perception.
• Anant Charitra: perfect conduct, absolutely free from attachment and aversion (vitarāga).
• Anant Virya: infinite spiritual energy.
• Arihant-bhāva: complete destruction of the four ghāti karmas (knowledge-, perception-, deluding-, energy-obscuring).
• Shuddhopayoga: continuous pure awareness of the soul.
• Samyaktva: perfected right faith, right knowledge, and right conduct.
• Absolute ahimsā: non-violence in thought, word, and deed.
• Perfect observance of the five great vows: ahimsā, satya, asteya, brahmacharya, aparigraha.
• Embodiment of the ten dharma-lakshanas: kshamā, mārdava, ārjava, shaucha, satya, saṃyama, tapa, tyāga, ākiñcanya, brahmacharya.
• Nirjara-pradhānta: continuous shedding of karmas until total freedom.
• Karuṇā without rāga-dveṣa: boundless compassion free of attachment/aversion.
• Tīrtha-racnā: establishment of the fourfold sangh (sādhus, sādhvīs, śrāvaks, śrāvikās).
• Samavasaraṇa: universally accessible preaching assembly.
• Sarva-bhāṣā-gamyatā: discourse understood by all beings according to their capacity.
• Trikaraṇa-śuddhi: complete purity of mind, speech, and body.
• Avyābādha-sukha: unshakeable inner bliss.
• Akampya-samatā: unwavering equanimity in all circumstances.
• Aparigraha-parama: total non‑possessiveness.
• Nirmoha: freedom from all delusion and deceit.
• Nirlobha: perfect non‑greed; total contentment.
• Nirmāna: freedom from pride/ego.
• Nirodha of all kashāyas: total absence of anger, pride, deceit, and greed.
• 34 Atiśayas: the extraordinary excellences that manifest around a Tirthankar (such as universally intelligible speech, divine fragrance, auspicious aura, etc.).

Note on traditions:

• Both Digambar and Shvetambar traditions accept these core qualities. Depictions (e.g., adorned vs. unadorned idols) and a few narrative details may differ, but the spiritual attributes of a Tirthankar remain the same in both.

For a simple overview of “what is present with a Tirthankar (Tirthankar nī pāse hoy),” see this brief explainer from JainKnowledge: If you were looking for the 24 Tirthankars’ identifying symbols (lāñchhans), refer here: