42788033 has 2 divisors, whose sum is σ = 42788034. Its totient is φ = 42788032.

The previous prime is 42788003. The next prime is 42788063. The reversal of 42788033 is 33088724.

It is a balanced prime because it is at equal distance from previous prime (42788003) and next prime (42788063).

It can be written as a sum of positive squares in only one way, i.e., 42094144 + 693889 = 6488^2 + 833^2 .

It is a cyclic number.

It is not a de Polignac number, because 42788033 - 2⁸ = 42787777 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42787984 and 42788002.

It is not a weakly prime, because it can be changed into another prime (42788003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21394016 + 21394017.

It is an arithmetic number, because the mean of its divisors is an integer number (21394017).

Almost surely, 2^42788033 is an apocalyptic number.

It is an amenable number.

42788033 is a deficient number, since it is larger than the sum of its proper divisors (1).

42788033 is an equidigital number, since it uses as much as digits as its factorization.

42788033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 42788033 is about 6541.2562249158. The cubic root of 42788033 is about 349.7631949192.

The spelling of 42788033 in words is "forty-two million, seven hundred eighty-eight thousand, thirty-three".