4116312 has 128 divisors (see below), whose sum is σ = 12960000. Its totient is φ = 1202688.

The previous prime is 4116311. The next prime is 4116313. The reversal of 4116312 is 2136114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4116311) and next prime (4116313).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69739 + ... + 69797.

It is an arithmetic number, because the mean of its divisors is an integer number (101250).

Almost surely, 2^4116312 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 4116312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480000).

4116312 is an abundant number, since it is smaller than the sum of its proper divisors (8843688).

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

4116312 is a wasteful number, since it uses less digits than its factorization.

4116312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 4116312 is about 2028.8696360289. The cubic root of 4116312 is about 160.2640431844.

The spelling of 4116312 in words is "four million, one hundred sixteen thousand, three hundred twelve".