985611601 has 8 divisors (see below), whose sum is σ = 1123865064. Its totient is φ = 856277760.

The previous prime is 985611593. The next prime is 985611673. The reversal of 985611601 is 106116589.

It can be written as a sum of positive squares in 4 ways, for example, as 324864576 + 660747025 = 18024^2 + 25705^2 .

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

It is not a de Polignac number, because 985611601 - 2³ = 985611593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (985617601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2229670 + ... + 2230111.

It is an arithmetic number, because the mean of its divisors is an integer number (140483133).

Almost surely, 2^985611601 is an apocalyptic number.

It is an amenable number.

985611601 is a deficient number, since it is larger than the sum of its proper divisors (138253463).

985611601 is a wasteful number, since it uses less digits than its factorization.

985611601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459811.

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 985611601 is about 31394.4517550474. The cubic root of 985611601 is about 995.1806784508.

The spelling of 985611601 in words is "nine hundred eighty-five million, six hundred eleven thousand, six hundred one".