82829305 has 8 divisors (see below), whose sum is σ = 107041032. Its totient is φ = 61166208.

The previous prime is 82829297. The next prime is 82829317. The reversal of 82829305 is 50392828.

It can be written as a sum of positive squares in 4 ways, for example, as 310249 + 82519056 = 557^2 + 9084^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82829305 - 2³ = 82829297 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637084 + ... + 637213.

It is an arithmetic number, because the mean of its divisors is an integer number (13380129).

Almost surely, 2^82829305 is an apocalyptic number.

It is an amenable number.

82829305 is a deficient number, since it is larger than the sum of its proper divisors (24211727).

82829305 is a wasteful number, since it uses less digits than its factorization.

82829305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274315.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 82829305 is about 9101.0606524734. The cubic root of 82829305 is about 435.9078323399.

The spelling of 82829305 in words is "eighty-two million, eight hundred twenty-nine thousand, three hundred five".