400033 has 2 divisors, whose sum is σ = 400034. Its totient is φ = 400032.

The previous prime is 400031. The next prime is 400051. The reversal of 400033 is 330004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 345744 + 54289 = 588^2 + 233^2 .

It is a cyclic number.

It is not a de Polignac number, because 400033 - 2¹ = 400031 is a prime.

Together with 400031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 399992 and 400019.

It is not a weakly prime, because it can be changed into another prime (400031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200016 + 200017.

It is an arithmetic number, because the mean of its divisors is an integer number (200017).

2⁴⁰⁰⁰³³ is an apocalyptic number.

It is an amenable number.

400033 is a deficient number, since it is larger than the sum of its proper divisors (1).

400033 is an equidigital number, since it uses as much as digits as its factorization.

400033 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 10.

The square root of 400033 is about 632.4816202863. The cubic root of 400033 is about 73.6826561344.

Adding to 400033 its reverse (330004), we get a palindrome (730037).

The spelling of 400033 in words is "four hundred thousand, thirty-three".