4135000 has 40 divisors (see below), whose sum is σ = 9700020. Its totient is φ = 1652000.

The previous prime is 4134971. The next prime is 4135003. The reversal of 4135000 is 5314.

4135000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 4587 + ... + 5413.

Almost surely, 2^4135000 is an apocalyptic number.

4135000 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 4135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850010).

4135000 is an abundant number, since it is smaller than the sum of its proper divisors (5565020).

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

4135000 is an equidigital number, since it uses as much as digits as its factorization.

4135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 4135000 is about 2033.4699407663. The cubic root of 4135000 is about 160.5062092621.

The spelling of 4135000 in words is "four million, one hundred thirty-five thousand".