84681 has 9 divisors (see below), whose sum is σ = 123591. Its totient is φ = 55872.

The previous prime is 84673. The next prime is 84691. The reversal of 84681 is 18648.

84681 = T₂₉₀ + T₂₉₁.

The square root of 84681 is 291.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 46656 = 195^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 84681 - 2³ = 84673 is a prime.

It is a super-2 number, since 2×84681² = 14341743522, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84681.

It is not an unprimeable number, because it can be changed into a prime (84631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 825 + ... + 921.

2⁸⁴⁶⁸¹ is an apocalyptic number.

84681 is the 291-st square number.

84681 is the 146-th centered octagonal number.

It is an amenable number.

84681 is a deficient number, since it is larger than the sum of its proper divisors (38910).

84681 is an equidigital number, since it uses as much as digits as its factorization.

84681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 100 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The cubic root of 84681 is about 43.9132242924.

The spelling of 84681 in words is "eighty-four thousand, six hundred eighty-one".