86577 has 4 divisors (see below), whose sum is σ = 115440. Its totient is φ = 57716.

The previous prime is 86573. The next prime is 86579. The reversal of 86577 is 77568.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 86577 - 2² = 86573 is a prime.

It is an Ulam number.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (86573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14427 + ... + 14432.

It is an arithmetic number, because the mean of its divisors is an integer number (28860).

2⁸⁶⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

86577 is a deficient number, since it is larger than the sum of its proper divisors (28863).

86577 is a wasteful number, since it uses less digits than its factorization.

86577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28862.

The product of its digits is 11760, while the sum is 33.

The square root of 86577 is about 294.2396982054. The cubic root of 86577 is about 44.2385459837.

Subtracting from 86577 its reverse (77568), we obtain a palindrome (9009).

The spelling of 86577 in words is "eighty-six thousand, five hundred seventy-seven".