4134312 has 96 divisors (see below), whose sum is σ = 13802880. Its totient is φ = 1088640.

The previous prime is 4134311. The next prime is 4134323. The reversal of 4134312 is 2134314.

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 not an unprimeable number, because it can be changed into a prime (4134311) 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, 6237 + ... + 6867.

It is an arithmetic number, because the mean of its divisors is an integer number (143780).

Almost surely, 2^4134312 is an apocalyptic number.

4134312 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 4134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901440).

4134312 is an abundant number, since it is smaller than the sum of its proper divisors (9668568).

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

4134312 is a wasteful number, since it uses less digits than its factorization.

4134312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 656 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 4134312 is about 2033.3007647665. The cubic root of 4134312 is about 160.4973068521.

Adding to 4134312 its reverse (2134314), we get a palindrome (6268626).

The spelling of 4134312 in words is "four million, one hundred thirty-four thousand, three hundred twelve".