84125384 has 64 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 33546240.

The previous prime is 84125341. The next prime is 84125387. The reversal of 84125384 is 48352148.

It is not an unprimeable number, because it can be changed into a prime (84125387) 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, 91889 + ... + 92799.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^84125384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84125384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

84125384 is an abundant number, since it is smaller than the sum of its proper divisors (108926776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84125384 is a wasteful number, since it uses less digits than its factorization.

84125384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1034 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 84125384 is about 9171.9890972460. The cubic root of 84125384 is about 438.1697110664.

The spelling of 84125384 in words is "eighty-four million, one hundred twenty-five thousand, three hundred eighty-four".