84012 has 12 divisors (see below), whose sum is σ = 196056. Its totient is φ = 28000.

The previous prime is 84011. The next prime is 84017. The reversal of 84012 is 21048.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×84012² = 14116032288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 83982 and 84000.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3489 + ... + 3512.

It is an arithmetic number, because the mean of its divisors is an integer number (16338).

2⁸⁴⁰¹² is an apocalyptic number.

It is an amenable number.

84012 is an abundant number, since it is smaller than the sum of its proper divisors (112044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98028).

84012 is a wasteful number, since it uses less digits than its factorization.

84012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 84012 is about 289.8482361513. The cubic root of 84012 is about 43.7972767849.

The spelling of 84012 in words is "eighty-four thousand, twelve".