84428129 has 2 divisors, whose sum is σ = 84428130. Its totient is φ = 84428128.

The previous prime is 84428119. The next prime is 84428131. The reversal of 84428129 is 92182448.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80586529 + 3841600 = 8977^2 + 1960^2 .

It is a cyclic number.

It is not a de Polignac number, because 84428129 - 2⁸ = 84427873 is a prime.

Together with 84428131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 84428092 and 84428101.

It is not a weakly prime, because it can be changed into another prime (84428119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42214064 + 42214065.

It is an arithmetic number, because the mean of its divisors is an integer number (42214065).

Almost surely, 2^84428129 is an apocalyptic number.

It is an amenable number.

84428129 is a deficient number, since it is larger than the sum of its proper divisors (1).

84428129 is an equidigital number, since it uses as much as digits as its factorization.

84428129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36864, while the sum is 38.

The square root of 84428129 is about 9188.4780567839. The cubic root of 84428129 is about 438.6947007574.

The spelling of 84428129 in words is "eighty-four million, four hundred twenty-eight thousand, one hundred twenty-nine".