4181000 has 64 divisors (see below), whose sum is σ = 10136880. Its totient is φ = 1612800.

The previous prime is 4180987. The next prime is 4181041. The reversal of 4181000 is 1814.

It is a happy number.

4181000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27556 + 4153444 = 166^2 + 2038^2 .

It is a super-2 number, since 2×4181000² = 34961522000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36944 + ... + 37056.

Almost surely, 2^4181000 is an apocalyptic number.

4181000 is a gapful number since it is divisible by the number (40) 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 4181000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068440).

4181000 is an abundant number, since it is smaller than the sum of its proper divisors (5955880).

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

4181000 is a wasteful number, since it uses less digits than its factorization.

4181000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 4181000 is about 2044.7493733952. The cubic root of 4181000 is about 161.0992020087.

Adding to 4181000 its reverse (1814), we get a palindrome (4182814).

The spelling of 4181000 in words is "four million, one hundred eighty-one thousand".