42582017 has 2 divisors, whose sum is σ = 42582018. Its totient is φ = 42582016.

The previous prime is 42582013. The next prime is 42582019. The reversal of 42582017 is 71028524.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31764496 + 10817521 = 5636^2 + 3289^2 .

It is a cyclic number.

It is not a de Polignac number, because 42582017 - 2² = 42582013 is a prime.

Together with 42582019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42582013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21291008 + 21291009.

It is an arithmetic number, because the mean of its divisors is an integer number (21291009).

It is a Proth number, since it is equal to 2599 ⋅ 2¹⁴ + 1 and 2599 < 2¹⁴.

Almost surely, 2^42582017 is an apocalyptic number.

It is an amenable number.

42582017 is a deficient number, since it is larger than the sum of its proper divisors (1).

42582017 is an equidigital number, since it uses as much as digits as its factorization.

42582017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 42582017 is about 6525.4897900464. The cubic root of 42582017 is about 349.2009444788.

The spelling of 42582017 in words is "forty-two million, five hundred eighty-two thousand, seventeen".