84016 has 20 divisors (see below), whose sum is σ = 167400. Its totient is φ = 40832.

The previous prime is 84011. The next prime is 84017. The reversal of 84016 is 61048.

It is a junction number, because it is equal to n+sod(n) for n = 83984 and 84002.

It is not an unprimeable number, because it can be changed into a prime (84011) by changing a digit.

84016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 900 + ... + 988.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2⁸⁴⁰¹⁶ is an apocalyptic number.

It is an amenable number.

84016 is a deficient number, since it is larger than the sum of its proper divisors (83384).

84016 is a wasteful number, since it uses less digits than its factorization.

84016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 84016 is about 289.8551362319. The cubic root of 84016 is about 43.7979718694.

The spelling of 84016 in words is "eighty-four thousand, sixteen".