83584642 has 8 divisors (see below), whose sum is σ = 125416332. Its totient is φ = 41779200.

The previous prime is 83584639. The next prime is 83584643. The reversal of 83584642 is 24648538.

It can be written as a sum of positive squares in 2 ways, for example, as 79548561 + 4036081 = 8919^2 + 2009^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 83584595 and 83584604.

It is not an unprimeable number, because it can be changed into a prime (83584643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7042 + ... + 14722.

Almost surely, 2^83584642 is an apocalyptic number.

83584642 is a deficient number, since it is larger than the sum of its proper divisors (41831690).

83584642 is a wasteful number, since it uses less digits than its factorization.

83584642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13124.

The product of its digits is 184320, while the sum is 40.

The square root of 83584642 is about 9142.4636723369. The cubic root of 83584642 is about 437.2288684147.

The spelling of 83584642 in words is "eighty-three million, five hundred eighty-four thousand, six hundred forty-two".