85661645 has 8 divisors (see below), whose sum is σ = 102854904. Its totient is φ = 68488704.

The previous prime is 85661603. The next prime is 85661651. The reversal of 85661645 is 54616658.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 487204 + 85174441 = 698^2 + 9229^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85661645 - 2¹⁰ = 85660621 is a prime.

It is a super-3 number, since 3×85661645³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6677 + ... + 14693.

It is an arithmetic number, because the mean of its divisors is an integer number (12856863).

Almost surely, 2^85661645 is an apocalyptic number.

It is an amenable number.

85661645 is a deficient number, since it is larger than the sum of its proper divisors (17193259).

85661645 is a wasteful number, since it uses less digits than its factorization.

85661645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10159.

The product of its digits is 172800, while the sum is 41.

The square root of 85661645 is about 9255.3576376064. The cubic root of 85661645 is about 440.8208591907.

The spelling of 85661645 in words is "eighty-five million, six hundred sixty-one thousand, six hundred forty-five".