84282642 has 24 divisors (see below), whose sum is σ = 188910540. Its totient is φ = 27125280.

The previous prime is 84282629. The next prime is 84282643. The reversal of 84282642 is 24628248.

It is a happy number.

84282642 is a `hidden beast` number, since 8 + 4 + 2 + 8 + 2 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82791801 + 1490841 = 9099^2 + 1221^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84282597 and 84282606.

It is not an unprimeable number, because it can be changed into a prime (84282643) 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, 80209 + ... + 81252.

Almost surely, 2^84282642 is an apocalyptic number.

84282642 is an abundant number, since it is smaller than the sum of its proper divisors (104627898).

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

84282642 is a wasteful number, since it uses less digits than its factorization.

84282642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161498 (or 161495 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 84282642 is about 9180.5578261890. The cubic root of 84282642 is about 438.4425688647.

The spelling of 84282642 in words is "eighty-four million, two hundred eighty-two thousand, six hundred forty-two".