984312 has 120 divisors (see below), whose sum is σ = 3310560. Its totient is φ = 272160.

The previous prime is 984307. The next prime is 984323. The reversal of 984312 is 213489.

984312 is nontrivially palindromic in base 5.

984312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×984312² = 1937740226688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 plaindrome in base 15.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 984312.

It is an unprimeable number.

984312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31737 + ... + 31767.

It is an arithmetic number, because the mean of its divisors is an integer number (27588).

2⁹⁸⁴³¹² 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 984312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655280).

984312 is an abundant number, since it is smaller than the sum of its proper divisors (2326248).

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

984312 is a wasteful number, since it uses less digits than its factorization.

984312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 43 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 984312 is about 992.1249921255. The cubic root of 984312 is about 99.4743079883.

It can be divided in two parts, 984 and 312, that added together give a 4-th power (1296 = 6⁴).

The spelling of 984312 in words is "nine hundred eighty-four thousand, three hundred twelve".