4133500 has 48 divisors (see below), whose sum is σ = 10325952. Its totient is φ = 1416000.

The previous prime is 4133473. The next prime is 4133513. The reversal of 4133500 is 53314.

4133500 is nontrivially palindromic in base 9.

It is a zygodrome in base 9.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2910 + ... + 4090.

It is an arithmetic number, because the mean of its divisors is an integer number (215124).

Almost surely, 2^4133500 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 4133500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162976).

4133500 is an abundant number, since it is smaller than the sum of its proper divisors (6192452).

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

4133500 is a wasteful number, since it uses less digits than its factorization.

4133500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 4133500 is about 2033.1010796318. The cubic root of 4133500 is about 160.4867986671.

Adding to 4133500 its reverse (53314), we get a palindrome (4186814).

The spelling of 4133500 in words is "four million, one hundred thirty-three thousand, five hundred".