4000033 has 4 divisors (see below), whose sum is σ = 4108180. Its totient is φ = 3891888.

The previous prime is 3999971. The next prime is 4000037. The reversal of 4000033 is 3300004.

It is the 817-th star number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1710864 + 2289169 = 1308^2 + 1513^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000033 - 2¹⁷ = 3868961 is a prime.

It is a Duffinian number.

4000033 is a modest number, since divided by 33 gives 4 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3999983 and 4000019.

It is not an unprimeable number, because it can be changed into a prime (4000037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54018 + ... + 54091.

It is an arithmetic number, because the mean of its divisors is an integer number (1027045).

Almost surely, 2^4000033 is an apocalyptic number.

It is an amenable number.

4000033 is a deficient number, since it is larger than the sum of its proper divisors (108147).

4000033 is a wasteful number, since it uses less digits than its factorization.

4000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108146.

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 4000033 is about 2000.0082499830. The cubic root of 4000033 is about 158.7405417309.

Adding to 4000033 its reverse (3300004), we get a palindrome (7300037).

The spelling of 4000033 in words is "four million, thirty-three", and thus it is an aban number.