84305892 has 48 divisors (see below), whose sum is σ = 215611200. Its totient is φ = 25426560.

The previous prime is 84305891. The next prime is 84305909. The reversal of 84305892 is 29850348.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 84305892.

It is not an unprimeable number, because it can be changed into a prime (84305891) 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 15 ways as a sum of consecutive naturals, for example, 28834 + ... + 31622.

It is an arithmetic number, because the mean of its divisors is an integer number (4491900).

Almost surely, 2^84305892 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 84305892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107805600).

84305892 is an abundant number, since it is smaller than the sum of its proper divisors (131305308).

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

84305892 is a wasteful number, since it uses less digits than its factorization.

84305892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 84305892 is about 9181.8240017983. The cubic root of 84305892 is about 438.4828810503.

The spelling of 84305892 in words is "eighty-four million, three hundred five thousand, eight hundred ninety-two".