4181814 has 128 divisors (see below), whose sum is σ = 12257280. Its totient is φ = 1026432.

The previous prime is 4181797. The next prime is 4181819.

4181814 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181819) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113004 + ... + 113040.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

Almost surely, 2^4181814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4181814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128640).

4181814 is an abundant number, since it is smaller than the sum of its proper divisors (8075466).

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

4181814 is a wasteful number, since it uses less digits than its factorization.

4181814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 85 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 4181814 is about 2044.9484101072. The cubic root of 4181814 is about 161.1096561458.

The spelling of 4181814 in words is "four million, one hundred eighty-one thousand, eight hundred fourteen".