86572801 has 16 divisors (see below), whose sum is σ = 105661440. Its totient is φ = 69330240.

The previous prime is 86572793. The next prime is 86572807. The reversal of 86572801 is 10827568.

It is not a de Polignac number, because 86572801 - 2³ = 86572793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86572807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586 + ... + 13171.

It is an arithmetic number, because the mean of its divisors is an integer number (6603840).

Almost surely, 2^86572801 is an apocalyptic number.

It is an amenable number.

86572801 is a deficient number, since it is larger than the sum of its proper divisors (19088639).

86572801 is a wasteful number, since it uses less digits than its factorization.

86572801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13824.

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 86572801 is about 9304.4506017282. The cubic root of 86572801 is about 442.3783077964.

The spelling of 86572801 in words is "eighty-six million, five hundred seventy-two thousand, eight hundred one".