802129 has 2 divisors, whose sum is σ = 802130. Its totient is φ = 802128.

The previous prime is 802127. The next prime is 802133. The reversal of 802129 is 921208.

802129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 762129 + 40000 = 873^2 + 200^2 .

It is a cyclic number.

It is not a de Polignac number, because 802129 - 2¹ = 802127 is a prime.

Together with 802127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (802121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401064 + 401065.

It is an arithmetic number, because the mean of its divisors is an integer number (401065).

2⁸⁰²¹²⁹ is an apocalyptic number.

It is an amenable number.

802129 is a deficient number, since it is larger than the sum of its proper divisors (1).

802129 is an equidigital number, since it uses as much as digits as its factorization.

802129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 802129 is about 895.6165474130. The cubic root of 802129 is about 92.9140532511.

It can be divided in two parts, 80 and 2129, that added together give a square (2209 = 47²).

The spelling of 802129 in words is "eight hundred two thousand, one hundred twenty-nine".