42631933 has 2 divisors, whose sum is σ = 42631934. Its totient is φ = 42631932.

The previous prime is 42631909. The next prime is 42631957. The reversal of 42631933 is 33913624.

42631933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (42631909) and next prime (42631957).

It can be written as a sum of positive squares in only one way, i.e., 31058329 + 11573604 = 5573^2 + 3402^2 .

It is a cyclic number.

It is not a de Polignac number, because 42631933 - 2²⁵ = 9077501 is a prime.

It is a super-2 number, since 2×42631933² = 3634963422632978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42631895 and 42631904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42631973) 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 as a sum of consecutive naturals, namely, 21315966 + 21315967.

It is an arithmetic number, because the mean of its divisors is an integer number (21315967).

Almost surely, 2^42631933 is an apocalyptic number.

It is an amenable number.

42631933 is a deficient number, since it is larger than the sum of its proper divisors (1).

42631933 is an equidigital number, since it uses as much as digits as its factorization.

42631933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 31.

The square root of 42631933 is about 6529.3133635934. The cubic root of 42631933 is about 349.3373393630.

The spelling of 42631933 in words is "forty-two million, six hundred thirty-one thousand, nine hundred thirty-three".