82801129 has 2 divisors, whose sum is σ = 82801130. Its totient is φ = 82801128.

The previous prime is 82801111. The next prime is 82801139. The reversal of 82801129 is 92110828.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78801129 + 4000000 = 8877^2 + 2000^2 .

It is a cyclic number.

It is not a de Polignac number, because 82801129 - 2²⁵ = 49246697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82801129.

It is not a weakly prime, because it can be changed into another prime (82801109) 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 as a sum of consecutive naturals, namely, 41400564 + 41400565.

It is an arithmetic number, because the mean of its divisors is an integer number (41400565).

Almost surely, 2^82801129 is an apocalyptic number.

It is an amenable number.

82801129 is a deficient number, since it is larger than the sum of its proper divisors (1).

82801129 is an equidigital number, since it uses as much as digits as its factorization.

82801129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 82801129 is about 9099.5125693633. The cubic root of 82801129 is about 435.8583992236.

It can be divided in two parts, 8280 and 1129, that added together give a square (9409 = 97²).

The spelling of 82801129 in words is "eighty-two million, eight hundred one thousand, one hundred twenty-nine".