82213305 has 16 divisors (see below), whose sum is σ = 133021440. Its totient is φ = 43353728.

The previous prime is 82213267. The next prime is 82213319. The reversal of 82213305 is 50331228.

It is a cyclic number.

It is not a de Polignac number, because 82213305 - 2⁸ = 82213049 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29457 + ... + 32126.

It is an arithmetic number, because the mean of its divisors is an integer number (8313840).

Almost surely, 2^82213305 is an apocalyptic number.

It is an amenable number.

82213305 is a deficient number, since it is larger than the sum of its proper divisors (50808135).

82213305 is a wasteful number, since it uses less digits than its factorization.

82213305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61680.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 82213305 is about 9067.1552870787. The cubic root of 82213305 is about 434.8245295717.

The spelling of 82213305 in words is "eighty-two million, two hundred thirteen thousand, three hundred five".