84677 has 6 divisors (see below), whose sum is σ = 90258. Its totient is φ = 79424.

The previous prime is 84673. The next prime is 84691. The reversal of 84677 is 77648.

It can be written as a sum of positive squares in 3 ways, for example, as 57121 + 27556 = 239^2 + 166^2 .

It is not a de Polignac number, because 84677 - 2² = 84673 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84677.

It is not an unprimeable number, because it can be changed into a prime (84673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (15043).

2⁸⁴⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

84677 is a deficient number, since it is larger than the sum of its proper divisors (5581).

84677 is a wasteful number, since it uses less digits than its factorization.

84677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 84677 is about 290.9931270666. The cubic root of 84677 is about 43.9125328517.

The spelling of 84677 in words is "eighty-four thousand, six hundred seventy-seven".