312144 has 40 divisors (see below), whose sum is σ = 922560. Its totient is φ = 89088.

The previous prime is 312121. The next prime is 312161. The reversal of 312144 is 441213.

312144 = 37² + 38² + ... + 99².

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

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 312144.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 129 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (23064).

2³¹²¹⁴⁴ 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 312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461280).

312144 is an abundant number, since it is smaller than the sum of its proper divisors (610416).

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

312144 is a wasteful number, since it uses less digits than its factorization.

312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 312144 is about 558.6984875584. The cubic root of 312144 is about 67.8346617521.

Adding to 312144 its reverse (441213), we get a palindrome (753357).

The spelling of 312144 in words is "three hundred twelve thousand, one hundred forty-four", and thus it is an iban number.