82584641 has 4 divisors (see below), whose sum is σ = 82609284. Its totient is φ = 82560000.

The previous prime is 82584617. The next prime is 82584707. The reversal of 82584641 is 14648528.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7398400 + 75186241 = 2720^2 + 8671^2 .

It is a cyclic number.

It is not a de Polignac number, because 82584641 - 2¹⁴ = 82568257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82584595 and 82584604.

It is not an unprimeable number, because it can be changed into a prime (82584611) 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, 6320 + ... + 14321.

It is an arithmetic number, because the mean of its divisors is an integer number (20652321).

Almost surely, 2^82584641 is an apocalyptic number.

It is an amenable number.

82584641 is a deficient number, since it is larger than the sum of its proper divisors (24643).

82584641 is a wasteful number, since it uses less digits than its factorization.

82584641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24642.

The product of its digits is 61440, while the sum is 38.

The square root of 82584641 is about 9087.6092015447. The cubic root of 82584641 is about 435.4782092885.

The spelling of 82584641 in words is "eighty-two million, five hundred eighty-four thousand, six hundred forty-one".