4131816 has 128 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 1105920.

The previous prime is 4131791. The next prime is 4131839. The reversal of 4131816 is 6181314.

4131816 = T₁₅₃ + T₁₅₄ + ... + T₃₀₄.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100756 + ... + 100796.

It is an arithmetic number, because the mean of its divisors is an integer number (99225).

Almost surely, 2^4131816 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 4131816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

4131816 is an abundant number, since it is smaller than the sum of its proper divisors (8568984).

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

4131816 is a wasteful number, since it uses less digits than its factorization.

4131816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 4131816 is about 2032.6868917765. The cubic root of 4131816 is about 160.4650014428.

It can be divided in two parts, 4131 and 816, that multiplied together give a square (3370896 = 1836²).

The spelling of 4131816 in words is "four million, one hundred thirty-one thousand, eight hundred sixteen".