312541218 has 48 divisors (see below), whose sum is σ = 742334112. Its totient is φ = 94248000.

The previous prime is 312541217. The next prime is 312541223. The reversal of 312541218 is 812145213.

It is a junction number, because it is equal to n+sod(n) for n = 312541191 and 312541200.

It is not an unprimeable number, because it can be changed into a prime (312541217) 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 23 ways as a sum of consecutive naturals, for example, 38038 + ... + 45518.

It is an arithmetic number, because the mean of its divisors is an integer number (15465294).

Almost surely, 2^312541218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312541218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371167056).

312541218 is an abundant number, since it is smaller than the sum of its proper divisors (429792894).

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

312541218 is a wasteful number, since it uses less digits than its factorization.

312541218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7708 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 312541218 is about 17678.8353123162. The cubic root of 312541218 is about 678.6342382678.

The spelling of 312541218 in words is "three hundred twelve million, five hundred forty-one thousand, two hundred eighteen".