85688609 has 2 divisors, whose sum is σ = 85688610. Its totient is φ = 85688608.

The previous prime is 85688597. The next prime is 85688621. The reversal of 85688609 is 90688658.

It is a balanced prime because it is at equal distance from previous prime (85688597) and next prime (85688621).

It can be written as a sum of positive squares in only one way, i.e., 84180625 + 1507984 = 9175^2 + 1228^2 .

It is a cyclic number.

It is not a de Polignac number, because 85688609 - 2²⁰ = 84640033 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85688209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42844304 + 42844305.

It is an arithmetic number, because the mean of its divisors is an integer number (42844305).

Almost surely, 2^85688609 is an apocalyptic number.

It is an amenable number.

85688609 is a deficient number, since it is larger than the sum of its proper divisors (1).

85688609 is an equidigital number, since it uses as much as digits as its factorization.

85688609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 829440, while the sum is 50.

The square root of 85688609 is about 9256.8141927987. The cubic root of 85688609 is about 440.8671072196.

The spelling of 85688609 in words is "eighty-five million, six hundred eighty-eight thousand, six hundred nine".