42585929 has 2 divisors, whose sum is σ = 42585930. Its totient is φ = 42585928.

The previous prime is 42585913. The next prime is 42585941. The reversal of 42585929 is 92958524.

42585929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25775929 + 16810000 = 5077^2 + 4100^2 .

It is a cyclic number.

It is not a de Polignac number, because 42585929 - 2⁴ = 42585913 is a prime.

It is a super-2 number, since 2×42585929² = 3627122697586082, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42585929.

It is not a weakly prime, because it can be changed into another prime (42585989) 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, 21292964 + 21292965.

It is an arithmetic number, because the mean of its divisors is an integer number (21292965).

Almost surely, 2^42585929 is an apocalyptic number.

It is an amenable number.

42585929 is a deficient number, since it is larger than the sum of its proper divisors (1).

42585929 is an equidigital number, since it uses as much as digits as its factorization.

42585929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 259200, while the sum is 44.

The square root of 42585929 is about 6525.7895307771. The cubic root of 42585929 is about 349.2116378212.

The spelling of 42585929 in words is "forty-two million, five hundred eighty-five thousand, nine hundred twenty-nine".