84242129 has 6 divisors (see below), whose sum is σ = 87248070. Its totient is φ = 81336416.

The previous prime is 84242113. The next prime is 84242141. The reversal of 84242129 is 92124248.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 483025 + 83759104 = 695^2 + 9152^2 .

It is not a de Polignac number, because 84242129 - 2⁴ = 84242113 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84242095 and 84242104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84242329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49244 + ... + 50925.

It is an arithmetic number, because the mean of its divisors is an integer number (14541345).

Almost surely, 2^84242129 is an apocalyptic number.

It is an amenable number.

84242129 is a deficient number, since it is larger than the sum of its proper divisors (3005941).

84242129 is a wasteful number, since it uses less digits than its factorization.

84242129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100227 (or 100198 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 84242129 is about 9178.3511046375. The cubic root of 84242129 is about 438.3723073803.

The spelling of 84242129 in words is "eighty-four million, two hundred forty-two thousand, one hundred twenty-nine".