84872 has 12 divisors (see below), whose sum is σ = 160695. Its totient is φ = 42024.

The previous prime is 84871. The next prime is 84913. The reversal of 84872 is 27848.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 42436 = 206^2 + 206^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=206.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84871) 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 2 ways as a sum of consecutive naturals, for example, 773 + ... + 875.

2⁸⁴⁸⁷² is an apocalyptic number.

It is an amenable number.

84872 is a deficient number, since it is larger than the sum of its proper divisors (75823).

84872 is a wasteful number, since it uses less digits than its factorization.

84872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 105 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 84872 is about 291.3279938489. The cubic root of 84872 is about 43.9462152731.

Multiplying 84872 by its reverse (27848), we get a square (2363515456 = 48616²).

The spelling of 84872 in words is "eighty-four thousand, eight hundred seventy-two".