82838029 has 2 divisors, whose sum is σ = 82838030. Its totient is φ = 82838028.

The previous prime is 82838003. The next prime is 82838047. The reversal of 82838029 is 92083828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51868804 + 30969225 = 7202^2 + 5565^2 .

It is a cyclic number.

It is not a de Polignac number, because 82838029 - 2¹¹ = 82835981 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82837982 and 82838000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82838729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41419014 + 41419015.

It is an arithmetic number, because the mean of its divisors is an integer number (41419015).

Almost surely, 2^82838029 is an apocalyptic number.

It is an amenable number.

82838029 is a deficient number, since it is larger than the sum of its proper divisors (1).

82838029 is an equidigital number, since it uses as much as digits as its factorization.

82838029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 82838029 is about 9101.5399246501. The cubic root of 82838029 is about 435.9231358062.

The spelling of 82838029 in words is "eighty-two million, eight hundred thirty-eight thousand, twenty-nine".