42504017 has 2 divisors, whose sum is σ = 42504018. Its totient is φ = 42504016.

The previous prime is 42504001. The next prime is 42504019. The reversal of 42504017 is 71040524.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22648081 + 19855936 = 4759^2 + 4456^2 .

It is a cyclic number.

It is not a de Polignac number, because 42504017 - 2⁴ = 42504001 is a prime.

It is a super-2 number, since 2×42504017² = 3613182922272578, which contains 22 as substring.

Together with 42504019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42503983 and 42504001.

It is not a weakly prime, because it can be changed into another prime (42504019) 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, 21252008 + 21252009.

It is an arithmetic number, because the mean of its divisors is an integer number (21252009).

Almost surely, 2^42504017 is an apocalyptic number.

It is an amenable number.

42504017 is a deficient number, since it is larger than the sum of its proper divisors (1).

42504017 is an equidigital number, since it uses as much as digits as its factorization.

42504017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 42504017 is about 6519.5104877590. The cubic root of 42504017 is about 348.9875968148.

The spelling of 42504017 in words is "forty-two million, five hundred four thousand, seventeen".