4114033 has 24 divisors (see below), whose sum is σ = 5414976. Its totient is φ = 3036000.

The previous prime is 4114021. The next prime is 4114057. The reversal of 4114033 is 3304114.

It is not a de Polignac number, because 4114033 - 2⁹ = 4113521 is a prime.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

4114033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4113998 and 4114016.

It is not an unprimeable number, because it can be changed into a prime (4114003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40683 + ... + 40783.

It is an arithmetic number, because the mean of its divisors is an integer number (225624).

Almost surely, 2^4114033 is an apocalyptic number.

It is an amenable number.

4114033 is a deficient number, since it is larger than the sum of its proper divisors (1300943).

4114033 is a wasteful number, since it uses less digits than its factorization.

4114033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4114033 is about 2028.3079154803. The cubic root of 4114033 is about 160.2344609451.

Adding to 4114033 its reverse (3304114), we get a palindrome (7418147).

It can be divided in two parts, 411 and 4033, that added together give a palindrome (4444).

The spelling of 4114033 in words is "four million, one hundred fourteen thousand, thirty-three".