82392829 has 8 divisors (see below), whose sum is σ = 87724728. Its totient is φ = 77114880.

The previous prime is 82392809. The next prime is 82392841. The reversal of 82392829 is 92829328.

It can be written as a sum of positive squares in 4 ways, for example, as 900 + 82391929 = 30^2 + 9077^2 .

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 82392829 - 2⁷ = 82392701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82392809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10312 + ... + 16465.

It is an arithmetic number, because the mean of its divisors is an integer number (10965591).

Almost surely, 2^82392829 is an apocalyptic number.

It is an amenable number.

82392829 is a deficient number, since it is larger than the sum of its proper divisors (5331899).

82392829 is a wasteful number, since it uses less digits than its factorization.

82392829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26975.

The product of its digits is 124416, while the sum is 43.

The square root of 82392829 is about 9077.0495757157. The cubic root of 82392829 is about 435.1407990952.

The spelling of 82392829 in words is "eighty-two million, three hundred ninety-two thousand, eight hundred twenty-nine".