4000133 has 2 divisors, whose sum is σ = 4000134. Its totient is φ = 4000132.

The previous prime is 4000093. The next prime is 4000153. The reversal of 4000133 is 3310004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3869089 + 131044 = 1967^2 + 362^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000133 - 2¹⁰ = 3999109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000066 + 2000067.

It is an arithmetic number, because the mean of its divisors is an integer number (2000067).

Almost surely, 2^4000133 is an apocalyptic number.

It is an amenable number.

4000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000133 is an equidigital number, since it uses as much as digits as its factorization.

4000133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 4000133 is about 2000.0332497236. The cubic root of 4000133 is about 158.7418645468.

Adding to 4000133 its reverse (3310004), we get a palindrome (7310137).

The spelling of 4000133 in words is "four million, one hundred thirty-three", and thus it is an aban number.