84282192 has 60 divisors (see below), whose sum is σ = 249755220. Its totient is φ = 26440704.

The previous prime is 84282173. The next prime is 84282197. The reversal of 84282192 is 29128248.

It can be written as a sum of positive squares in 2 ways, for example, as 38638656 + 45643536 = 6216^2 + 6756^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84282197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14767 + ... + 19662.

It is an arithmetic number, because the mean of its divisors is an integer number (4162587).

Almost surely, 2^84282192 is an apocalyptic number.

It is an amenable number.

84282192 is an abundant number, since it is smaller than the sum of its proper divisors (165473028).

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

84282192 is a wasteful number, since it uses less digits than its factorization.

84282192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34460 (or 34451 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 84282192 is about 9180.5333178416. The cubic root of 84282192 is about 438.4417885557.

The spelling of 84282192 in words is "eighty-four million, two hundred eighty-two thousand, one hundred ninety-two".