86541201 has 12 divisors (see below), whose sum is σ = 128053380. Its totient is φ = 56286720.

The previous prime is 86541199. The next prime is 86541211. The reversal of 86541201 is 10214568.

86541201 is a `hidden beast` number, since 8 + 654 + 1 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7420176 + 79121025 = 2724^2 + 8895^2 .

It is not a de Polignac number, because 86541201 - 2¹ = 86541199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86541211) 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, 116896 + ... + 117633.

It is an arithmetic number, because the mean of its divisors is an integer number (10671115).

Almost surely, 2^86541201 is an apocalyptic number.

It is an amenable number.

86541201 is a deficient number, since it is larger than the sum of its proper divisors (41512179).

86541201 is a wasteful number, since it uses less digits than its factorization.

86541201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234576 (or 234573 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 86541201 is about 9302.7523346588. The cubic root of 86541201 is about 442.3244769721.

Adding to 86541201 its reverse (10214568), we get a palindrome (96755769).

The spelling of 86541201 in words is "eighty-six million, five hundred forty-one thousand, two hundred one".