82577 has 4 divisors (see below), whose sum is σ = 90096. Its totient is φ = 75060.

The previous prime is 82571. The next prime is 82591. The reversal of 82577 is 77528.

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 82577 - 2⁴ = 82561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82571) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3743 + ... + 3764.

It is an arithmetic number, because the mean of its divisors is an integer number (22524).

2⁸²⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

82577 is a deficient number, since it is larger than the sum of its proper divisors (7519).

82577 is a wasteful number, since it uses less digits than its factorization.

82577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7518.

The product of its digits is 3920, while the sum is 29.

The square root of 82577 is about 287.3621408606. The cubic root of 82577 is about 43.5464778253.

The spelling of 82577 in words is "eighty-two thousand, five hundred seventy-seven".