84312 has 24 divisors (see below), whose sum is σ = 228540. Its totient is φ = 28080.

The previous prime is 84307. The next prime is 84313. The reversal of 84312 is 21348.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84313) 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 5 ways as a sum of consecutive naturals, for example, 514 + ... + 657.

2⁸⁴³¹² is an apocalyptic number.

It is an amenable number.

84312 is an abundant number, since it is smaller than the sum of its proper divisors (144228).

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

84312 is a wasteful number, since it uses less digits than its factorization.

84312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1176 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 84312 is about 290.3652871815. The cubic root of 84312 is about 43.8493470222.

The spelling of 84312 in words is "eighty-four thousand, three hundred twelve".