82000029 has 32 divisors (see below), whose sum is σ = 120384000. Its totient is φ = 49460544.

The previous prime is 81999997. The next prime is 82000031. The reversal of 82000029 is 92000028.

It is not a de Polignac number, because 82000029 - 2⁵ = 81999997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 81999969 and 82000014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82000049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124102 + ... + 124760.

It is an arithmetic number, because the mean of its divisors is an integer number (3762000).

Almost surely, 2^82000029 is an apocalyptic number.

It is an amenable number.

82000029 is a deficient number, since it is larger than the sum of its proper divisors (38383971).

82000029 is a wasteful number, since it uses less digits than its factorization.

82000029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 82000029 is about 9055.3867393944. The cubic root of 82000029 is about 434.4481997923.

Subtracting 82000029 from its reverse (92000028), we obtain a palindrome (9999999).

The spelling of 82000029 in words is "eighty-two million, twenty-nine", and thus it is an aban number and an uban number.