86529201 has 48 divisors (see below), whose sum is σ = 137457408. Its totient is φ = 47980800.

The previous prime is 86529193. The next prime is 86529203. The reversal of 86529201 is 10292568.

It is not a de Polignac number, because 86529201 - 2³ = 86529193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (86529203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409986 + ... + 410196.

It is an arithmetic number, because the mean of its divisors is an integer number (2863696).

Almost surely, 2^86529201 is an apocalyptic number.

It is an amenable number.

86529201 is a deficient number, since it is larger than the sum of its proper divisors (50928207).

86529201 is a wasteful number, since it uses less digits than its factorization.

86529201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 86529201 is about 9302.1073418876. The cubic root of 86529201 is about 442.3040314540.

The spelling of 86529201 in words is "eighty-six million, five hundred twenty-nine thousand, two hundred one".