87582017 has 2 divisors, whose sum is σ = 87582018. Its totient is φ = 87582016.

The previous prime is 87581993. The next prime is 87582043. The reversal of 87582017 is 71028578.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67502656 + 20079361 = 8216^2 + 4481^2 .

It is a cyclic number.

It is not a de Polignac number, because 87582017 - 2⁸ = 87581761 is a prime.

It is not a weakly prime, because it can be changed into another prime (87582067) 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, 43791008 + 43791009.

It is an arithmetic number, because the mean of its divisors is an integer number (43791009).

Almost surely, 2^87582017 is an apocalyptic number.

It is an amenable number.

87582017 is a deficient number, since it is larger than the sum of its proper divisors (1).

87582017 is an equidigital number, since it uses as much as digits as its factorization.

87582017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 87582017 is about 9358.5264331517. The cubic root of 87582017 is about 444.0906684542.

The spelling of 87582017 in words is "eighty-seven million, five hundred eighty-two thousand, seventeen".