4137133 has 16 divisors (see below), whose sum is σ = 5556096. Its totient is φ = 2975040.

The previous prime is 4137121. The next prime is 4137149. The reversal of 4137133 is 3317314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4137133 - 2⁵ = 4137101 is a prime.

It is a super-4 number, since 4×4137133⁴ (a number of 28 digits) contains 4444 as substring.

4137133 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066 + ... + 3067.

It is an arithmetic number, because the mean of its divisors is an integer number (347256).

Almost surely, 2^4137133 is an apocalyptic number.

It is an amenable number.

4137133 is a deficient number, since it is larger than the sum of its proper divisors (1418963).

4137133 is a wasteful number, since it uses less digits than its factorization.

4137133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164.

The product of its digits is 756, while the sum is 22.

The square root of 4137133 is about 2033.9943461082. The cubic root of 4137133 is about 160.5338030464.

The spelling of 4137133 in words is "four million, one hundred thirty-seven thousand, one hundred thirty-three".