86582241 has 24 divisors (see below), whose sum is σ = 134605224. Its totient is φ = 53429760.

The previous prime is 86582239. The next prime is 86582311. The reversal of 86582241 is 14228568.

It can be written as a sum of positive squares in 4 ways, for example, as 13838400 + 72743841 = 3720^2 + 8529^2 .

It is not a de Polignac number, because 86582241 - 2¹ = 86582239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86582196 and 86582205.

It is not an unprimeable number, because it can be changed into a prime (86582641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4695 + ... + 13971.

It is an arithmetic number, because the mean of its divisors is an integer number (5608551).

Almost surely, 2^86582241 is an apocalyptic number.

It is an amenable number.

86582241 is a deficient number, since it is larger than the sum of its proper divisors (48022983).

86582241 is a wasteful number, since it uses less digits than its factorization.

86582241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9361 (or 9358 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 86582241 is about 9304.9578720164. The cubic root of 86582241 is about 442.3943863622.

The spelling of 86582241 in words is "eighty-six million, five hundred eighty-two thousand, two hundred forty-one".