84577 has 4 divisors (see below), whose sum is σ = 85680. Its totient is φ = 83476.

The previous prime is 84559. The next prime is 84589. The reversal of 84577 is 77548.

It is a happy number.

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 84577 - 2⁷ = 84449 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84577.

It is not an unprimeable number, because it can be changed into a prime (84377) 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, 427 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2⁸⁴⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

84577 is a deficient number, since it is larger than the sum of its proper divisors (1103).

84577 is a wasteful number, since it uses less digits than its factorization.

84577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102.

The product of its digits is 7840, while the sum is 31.

The square root of 84577 is about 290.8212509429. The cubic root of 84577 is about 43.8952397535.

It can be divided in two parts, 8457 and 7, that added together give a square (8464 = 92²).

The spelling of 84577 in words is "eighty-four thousand, five hundred seventy-seven".