4007133 has 24 divisors (see below), whose sum is σ = 6453720. Its totient is φ = 2378880.

The previous prime is 4007131. The next prime is 4007141. The reversal of 4007133 is 3317004.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 3229209 = 882^2 + 1797^2 .

It is not a de Polignac number, because 4007133 - 2¹ = 4007131 is a prime.

It is a super-2 number, since 2×4007133² = 32114229759378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007131) 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, 2803 + ... + 3983.

It is an arithmetic number, because the mean of its divisors is an integer number (268905).

Almost surely, 2^4007133 is an apocalyptic number.

It is an amenable number.

4007133 is a deficient number, since it is larger than the sum of its proper divisors (2446587).

4007133 is a wasteful number, since it uses less digits than its factorization.

4007133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 4007133 is about 2001.7824557129. The cubic root of 4007133 is about 158.8344069287.

It can be divided in two parts, 40071 and 33, that added together give a palindrome (40104).

The spelling of 4007133 in words is "four million, seven thousand, one hundred thirty-three".