86546577 has 16 divisors (see below), whose sum is σ = 130813760. Its totient is φ = 50455872.

The previous prime is 86546533. The next prime is 86546611. The reversal of 86546577 is 77564568.

It is not a de Polignac number, because 86546577 - 2¹⁴ = 86530193 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86546477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57658 + ... + 59139.

It is an arithmetic number, because the mean of its divisors is an integer number (8175860).

Almost surely, 2^86546577 is an apocalyptic number.

It is an amenable number.

86546577 is a deficient number, since it is larger than the sum of its proper divisors (44267183).

86546577 is a wasteful number, since it uses less digits than its factorization.

86546577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116832.

The product of its digits is 1411200, while the sum is 48.

The square root of 86546577 is about 9303.0412769158. The cubic root of 86546577 is about 442.3336359512. Note that the first 3 decimals are identical.

Subtracting from 86546577 its reverse (77564568), we obtain a square (8982009 = 2997²).

The spelling of 86546577 in words is "eighty-six million, five hundred forty-six thousand, five hundred seventy-seven".