4113000 has 96 divisors (see below), whose sum is σ = 13932360. Its totient is φ = 1094400.

The previous prime is 4112989. The next prime is 4113029. The reversal of 4113000 is 3114.

4113000 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 4 ways, for example, as 2022084 + 2090916 = 1422^2 + 1446^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 8772 + ... + 9228.

Almost surely, 2^4113000 is an apocalyptic number.

4113000 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 4113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966180).

4113000 is an abundant number, since it is smaller than the sum of its proper divisors (9819360).

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

4113000 is a wasteful number, since it uses less digits than its factorization.

4113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 4113000 is about 2028.0532537387. The cubic root of 4113000 is about 160.2210486354.

Adding to 4113000 its reverse (3114), we get a palindrome (4116114).

It can be divided in two parts, 41 and 13000, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 4113000 in words is "four million, one hundred thirteen thousand".