84125209 has 16 divisors (see below), whose sum is σ = 99792000. Its totient is φ = 70868112.

The previous prime is 84125207. The next prime is 84125213. The reversal of 84125209 is 90252148.

It is not a de Polignac number, because 84125209 - 2¹ = 84125207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84125207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18159 + ... + 22315.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2^84125209 is an apocalyptic number.

It is an amenable number.

84125209 is a deficient number, since it is larger than the sum of its proper divisors (15666791).

84125209 is an equidigital number, since it uses as much as digits as its factorization.

84125209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 84125209 is about 9171.9795573257. The cubic root of 84125209 is about 438.1694072352.

The spelling of 84125209 in words is "eighty-four million, one hundred twenty-five thousand, two hundred nine".