82411329 has 48 divisors (see below), whose sum is σ = 148414464. Its totient is φ = 39499200.

The previous prime is 82411319. The next prime is 82411337. The reversal of 82411329 is 92311428.

It is not a de Polignac number, because 82411329 - 2⁸ = 82411073 is a prime.

It is a super-7 number, since 7×82411329⁷ (a number of 57 digits) contains 7777777 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82411296 and 82411305.

It is not an unprimeable number, because it can be changed into a prime (82411309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37984 + ... + 40094.

It is an arithmetic number, because the mean of its divisors is an integer number (3091968).

Almost surely, 2^82411329 is an apocalyptic number.

It is an amenable number.

82411329 is a deficient number, since it is larger than the sum of its proper divisors (66003135).

82411329 is a wasteful number, since it uses less digits than its factorization.

82411329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2145 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 82411329 is about 9078.0685721138. The cubic root of 82411329 is about 435.1733646411.

Subtracting 82411329 from its reverse (92311428), we obtain a palindrome (9900099).

The spelling of 82411329 in words is "eighty-two million, four hundred eleven thousand, three hundred twenty-nine".