85128601 has 8 divisors (see below), whose sum is σ = 90445320. Its totient is φ = 79970688.

The previous prime is 85128581. The next prime is 85128613. The reversal of 85128601 is 10682158.

It can be written as a sum of positive squares in 4 ways, for example, as 13133376 + 71995225 = 3624^2 + 8485^2 .

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 85128601 - 2¹⁷ = 84997529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85128661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38596 + ... + 40741.

It is an arithmetic number, because the mean of its divisors is an integer number (11305665).

Almost surely, 2^85128601 is an apocalyptic number.

It is an amenable number.

85128601 is a deficient number, since it is larger than the sum of its proper divisors (5316719).

85128601 is a wasteful number, since it uses less digits than its factorization.

85128601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79403.

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 85128601 is about 9226.5161897652. The cubic root of 85128601 is about 439.9045953619.

The spelling of 85128601 in words is "eighty-five million, one hundred twenty-eight thousand, six hundred one".