82005335429 has 16 divisors (see below), whose sum is σ = 85171625280. Its totient is φ = 78892450560.

The previous prime is 82005335411. The next prime is 82005335449. The reversal of 82005335429 is 92453350028.

It is a cyclic number.

It is not a de Polignac number, because 82005335429 - 2¹⁶ = 82005269893 is a prime.

It is a super-2 number, since 2×82005335429² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82005335449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1728434 + ... + 1775244.

It is an arithmetic number, because the mean of its divisors is an integer number (5323226580).

Almost surely, 2^82005335429 is an apocalyptic number.

It is an amenable number.

82005335429 is a deficient number, since it is larger than the sum of its proper divisors (3166289851).

82005335429 is a wasteful number, since it uses less digits than its factorization.

82005335429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47380.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 82005335429 in words is "eighty-two billion, five million, three hundred thirty-five thousand, four hundred twenty-nine".