84912 has 40 divisors (see below), whose sum is σ = 230640. Its totient is φ = 26880.

The previous prime is 84871. The next prime is 84913. The reversal of 84912 is 21948.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (84913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1362 + ... + 1422.

It is an arithmetic number, because the mean of its divisors is an integer number (5766).

2⁸⁴⁹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115320).

84912 is an abundant number, since it is smaller than the sum of its proper divisors (145728).

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

84912 is a wasteful number, since it uses less digits than its factorization.

84912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 84912 is about 291.3966369058. The cubic root of 84912 is about 43.9531181093.

It can be divided in two parts, 849 and 12, that added together give a triangular number (861 = T₄₁).

The spelling of 84912 in words is "eighty-four thousand, nine hundred twelve".