4133916 has 36 divisors (see below), whose sum is σ = 10839192. Its totient is φ = 1377648.

The previous prime is 4133911. The next prime is 4133923. The reversal of 4133916 is 6193314.

4133916 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 (36).

It is a super-2 number, since 2×4133916² = 34178522990112, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4133916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133911) 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 11 ways as a sum of consecutive naturals, for example, 1155 + ... + 3098.

Almost surely, 2^4133916 is an apocalyptic number.

It is an amenable number.

4133916 is an abundant number, since it is smaller than the sum of its proper divisors (6705276).

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

4133916 is a wasteful number, since it uses less digits than its factorization.

4133916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4258 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 4133916 is about 2033.2033838256. The cubic root of 4133916 is about 160.4921823426.

The spelling of 4133916 in words is "four million, one hundred thirty-three thousand, nine hundred sixteen".