4218312 has 96 divisors (see below), whose sum is σ = 13050720. Its totient is φ = 1128960.

The previous prime is 4218299. The next prime is 4218317. The reversal of 4218312 is 2138124.

It is a super-2 number, since 2×4218312² = 35588312258688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4218317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19887 + ... + 20097.

It is an arithmetic number, because the mean of its divisors is an integer number (135945).

Almost surely, 2^4218312 is an apocalyptic number.

4218312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4218312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525360).

4218312 is an abundant number, since it is smaller than the sum of its proper divisors (8832408).

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

4218312 is a wasteful number, since it uses less digits than its factorization.

4218312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 4218312 is about 2053.8529645522. The cubic root of 4218312 is about 161.5770096039.

It can be divided in two parts, 42183 and 12, that added together give a triangular number (42195 = T₂₉₀).

The spelling of 4218312 in words is "four million, two hundred eighteen thousand, three hundred twelve".